There is alot of assumptions here that I will attempt to counter.
The whole idea of getting the military to attack Angel is a unrealistic stretch of imagination at best.
1) I was in the military, and it takes hours to mobilize anything military.
2) Your mind controling a beat cop. A low level ranking cop. He hardly has the authority to force Dispatch to call in the military or even all cops to his location. I was a Navy MP for two years, I know this
3) Angel also has major connections to the law enforcement of his city (we never specified what city we are in) and can easy call the cops off with his relationship to the detectives he is connected with as well high ranking political demons.
In the end the whole plan of mind controlling a beat cop to call in a Michael Bay film worth of military is just not realistic at all. it can also be easy countered with a phone call.
Now lets discuss the fighting. Angel like I said can close the distance super quick, and I mean quick. If your character has info on Angel being a Vampire, then Angel like wise should know she is a telepath correct? By this line of reasoning Angel will know to attack her and through that break Electra's focus like most low level telepaths do when focusing on a personal fight.
While Electra may seem to have a better resume in skill, I will contest its not by that much of a degree. Angel like I said has fought super beings, and well establish skilled fighters (Faith, Buffy, Spike, Gunn, Conner, ect) and comes out on top. Heck just to prove how skilled Angel is, I will show you what happens when Angel was turned human, and sent to hell.
In Hell Angel was turned human. No Vampire powers. Yet through his raw skill he manage to fight hordes of powerful demons, and other super power establish skilled beings with no problem. Here he fights hordes of Demons by himself with on the fly use of skill and tactics to prevail. He even owns a Demon Lord with a move.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsHellfor3Months11_zpsb6597f5e.png.html?sort=9&o=118
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsHellfor3Months12_zpsae03a8ff.png.html?sort=9&o=119
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatAccuracyThrowingStake1_zpsf554887b.png.html?sort=9&o=13
Angel here impressively tricks Spike (a very well establish equal of Angel) into thinking he is still a Vampire with skill alone. then Angel survives the brutal attacks of the Demon Godlike Illyria. Again thanks to Angel use of tactics and back up plans he survives this encounter with the time controlling demon.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsSpikeandIllyria21_zpsfdc876a9.png.html?sort=9&o=156
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsSpikeandIllyria22_zps0ed9d870.png.html?sort=9&o=157
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsSpikeandIllyria23_zps9addf042.png.html?sort=9&o=158
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsSpikeandIllyria24_zps7162a456.png.html?sort=9&o=159
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsSpikeandIllyria25_zpscb5b9980.png.html?sort=9&o=160
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsSpikeandIllyria26_zps97f348d2.png.html?sort=9&o=161
Angel takes on a horde of demons, and more than keeps up with his super vampire half breed son Conner.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsDemons21_zps863f8fdb.png.html?sort=9&o=79
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsDemons22_zpsd5968ffa.png.html?sort=9&o=80
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsDemons23_zps0a7c2829.png.html?sort=9&o=81
Angel even kills a powerful demon dragon with ease. Then kills the surrounding demons in a fury.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsDragon161_zps2f586cc7.png.html?sort=9&o=93
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsDragon162_zps4cea1018.png.html?sort=9&o=94
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsDragon163_zpsb379024a.png.html?sort=9&o=95
The best feat Angel has was fighting as a wounded human against the very establish in skilled Gunn who turned Vampire. Gunn is a human through Seasons 1-5 and comics. he has hours worth of fighting feats as a human against more powerful Vampires and demons. Keeping up with Angel and Spike! Now in this arc he was turned Vampire, and fights a tired Angel who was now the human!
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsGunn151_zpsff2261c1.png.html?sort=9&o=106
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsGunn152_zpsac7e491c.png.html?sort=9&o=107
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsGunn153_zpsfbd75b94.png.html?sort=9&o=108
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelvsGunn154_zps23cfe1ad.png.html?sort=9&o=109
In the end here Angel chose to die so he can reset time! That is skill. That is him as a human vs establish characters (Illiryia, Spike, Conner, Gunn), and super powered beings. That is 300+ years of fighting experience and studying MAs does for you. So while I would not say he is more skilled than Electra, I will argue he is close enough to compete, and his stats as well Vampire durability will put him over.
Now Electra is being argued super fast, but I see no reason for Angel not to match that easy. He does not really deflect bullets cause he is a Vampire and bullets do not harm him unlike Electra.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatDurability2_zps054e6850.png.html?sort=9&o=18
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatDurability1_zpsdaa428dd.png.html?sort=9&o=17
Here is a funny one with Spike on arrows.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatDurability3_zps4e6396e1.png.html?sort=9&o=19
The point is Angel has no need to dodge bullets or block them like Electra. He can however dodge bullets pretty well, and many times proved to move faster than crossbows or bullet propelled stakes after they are fired. Here he catches a Bolt fired at his back well after it was fired.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatSpeed5_zpsfb25c9e1.png.html?sort=9&o=34
Here he side steps a bullet fired stake after it is fired at point blank range.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatSpeed6_zps40cc54fd.png.html?sort=9&o=35
Here he side step bullets and arrows after they are fired at him easy.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatSpeed8_zps39ac5a9c.png.html?sort=9&o=37
Add these bullet timing feats with his speed bursts of faster than human eye can register, and I say it is safe to say Electra is not out speeding him in combat. Heck here Spike states how the Vampire reaction time is so great, he can see Illyria as a blur even though she practically frozen time to run away.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/AngelFeatSpeed10_zpsccb06376.png.html?sort=9&o=39
The reaction time of Angel and Buffy Vampires is more than enough to match Electra's speed and attacks. The real question is what Electra will do against a Vampire who can only be harm a specific way? He will no doubt speed blitz her to get her TP unfocused, and no doubt have advantage in strength and durability.
http://s9.photobucket.com/user/KingGojira2014/media/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/CordyFliesAngel1_zpsc7d2a291.png.html?sort=9&o=199
Angel has beaten Gods, Time Demons, Dragons, and all the forces of Hell several times over.
http://i9.photobucket.com/albums/a78/KingGojira2014/JOHNNY5-PC/Pictures/Comics/Vampire%20Slayer/Angel/CordyFliesAngel1_zpsc7d2a291.png
Electra resume is not nearly as impressive