Thor in a depowered state owns scores of Class 30's and keeps up with Captain America. He takes on an army of castle knights, and takes it to a dragon. Thor at a point his mortal, has lost mass and is literally dying fights dozens of metallic zombies, and still takes it to them. Hard. Even as a child Thor has shown incredible skills and agility. He isn't beating Captain America in this state either.
Words. Captain America has so many compliments under his belt I've lost track.
Thor's been in a human form plenty of times and has done extremely well. Once Loki tricked Thor into making a bet thinking that Thor would fail since he would be mortal. He was sent to a Viking village, working as a sea man, withering dangerous storms and he fought giant rats, zombies etc. and he did incredibly well.
When did I say she lacked experience?
Wonder Woman's greatest showing recently in comparison to someone who has impressive skill showings under their belt is probably the Black Canary sparring match off the top of my head. The Power Girl win was a decent enough showing, but Power Girl hasn't shown that much skill outside of being trained by Ted.
I've been keeping up with Wonder Woman. Her skills get played up plenty of times, but I haven't seen anything to justify her beating Captain America in this situation. Same goes for Thor. He has plenty of showings, for example when he wrecks the armies of Asgard, and he has been called Asgard's most efficient killer. It truly doesn't mean anything to be honest in a situation like this. The physical inferiority is simply too much, on top of Captain America's own skill advantage.
I never said she isn't in Captain America's skill range.
In fairness you are saying that he is more skilled than her and you aren't making it sound like it's close.
Her lack of showings against highly skilled martial artists is a bit deceiving. She is too powerful to be operating on their level normally. You aren't going to see her fighting a Shiva or a Cassandra Cain because it would take some plot device to make that fight even happen. You do, however, have numerous examples of other characters and she herself telling you about her training and expertise. You may not like that the information is provided in this manner, but you cannot deny it.
I also don't really see where your Thor comparisons come into play because she is more skilled than him.
The only advantage Rogers would have against her in this setting would be physical and if the point of the thread is to see how she fairs skill vs skill, I would assume that we would allow her to maintain her Amazon physical traits to make the fight fair. I'm not saying he can't beat her, but he doesn't stop her cold.
If you want to depower her to a level where he has a significant physical advantage over her, then sure she'll lose. That defeats the whole purpose of the thread however.