Did i do the right thing by leaving a abuse girlfriend?

hi, I am a pretty attractive guy, i think, and i dated this older woman, 6 years older than me, 31 years old. she is hot. also she, sometimes, treats me good, cooks for me, sex life is good, but she like to be in charge. i help around the house and i do all the work outside. now two times when she gets drunks she hit me,she started yelling and she literally bitted the crap off of me, at all this i never raise my hand at her or i never disrespected her. now i broke up with her but i still don't know if i should have gave her another change. now i put my pride as a men low because of her, the first time she left me bleeding and the second time she hit me for more than five minute straight. is it normal that a girl hits her boyfriend