AIO or is my girlfriend racist?

So, my girlfriend and I were talking about leaving hand prints from smacking one other and she said that she's white. I told her that I'm white too, she then said that me being white is debatable because I'm mixed with asain, Hawaiian and Irish... Then I said, "well I'm not black." She then proceeded to tell me that she wouldn't have dated me if I were black. I mentioned that you don't have to date someone to sleep with them. I told her that I slept with a black girl. Then she proceeded to say, "sleeping with a black person, is like bathing in dirty water." Don't get me wrong, I'm not racist or prejudice... I hate everyone. But I'm pretty sure my girlfriend is racist. She says she's just honest.