Yeah, you don't know Kratos if you think he has any compunctions about beating the crap out of her. Women are pretty much toys to him, and he's hard on his toys.
I mean, on his ship he has those two naked chicks in his bed (skipping past the naughty minigame), and the conversation he has with them is basically "I'm done with you, gtfo." Oh, plus he has a habit of picking up panicked, screaming villagers off the war-torn streets and butchering them for health.
And let us not forget how much he freaking pimpslapped the 3 sisters of Fate at the end of GoW2. Yeah, pretty much only thing girl enemies mean to Kratos is that they're squishier.