Yes, but even if she isn't trained, she can just as easily get the upper hand by utilizing a weapon such as a knife, baseball bat, or even a gun. She also has an advantage when reporting the abuse even if she is the one doing the abusing herself because the legal system (from my experience) almost always sides with the woman when it comes to domestic issues or deciding visitation rights for children or dividing assets upon a divorce.
Anyways, I didn't mean to derail this thread nor did I mean to come across as sexist or arrogant and if I did, my apologies