Dude, Padme'd win. It's said (I can't remember where) that she virtually never misses. At the age of 14 she was aready stronger than most (if not all) of the people in the Naboo security force. By AOTC she survived the Battle of Geonosis when many great Jedi died. So Han killed Greedo and a few Storm Troopers, huh? He's good, no doubt of that, but not as good as Padme.
Yeah it really is. Anyway I belive that Han Solo would win this. Padme survived the battle because she was sitting inside the whole of that transport and had Anakin as a body guard. And Han Solo has faced Boba Fett several times and survived. He has faced more action than Padme I belive. Han was an imperial officer, a smuggler for Jabba the Hutt and a Rebel General while Padme lived most of her life on the peaceful planet of Naboo. And belive me I've seen Padme miss several times in the movie.
Yeah. She can't even aim properly. She has a gun the size of a carbine and she's aiming it with a completley locked elbow. Even though it's mock recoil, notice how wobbly the point of her gun is. Meanwhile, Han Solo is a crack shot and his heavy blaster is enough to put decent sized holes in the walls of a hangar (Which would be well protected due to the heavy ship traffic which would erode the walls.)