Luke had more than twice as many killshots as Leia though.
Leia kills maybe three Stormtroopers in ANH. Luke, kills about ten troopers, several(4-5 I think) TIE's and a Death Star. Not to mention a bunch of wall mounted sensors before they bust Leia out.
I actually just watched ANH to get screens of the MF and funny faces for memes.
But even if you add up their respective kills for the whole trilogy, Luke still wins. That is not to say that Leia isn't a badass though. The way she kills Jabba alone makes her a gangsta! :{