Everyone is racist. Seriously. It's a sociological and psychological fact. Doesn't mean anybody is a bad person. If you are aware of your own internal racism, you are able to handle it like an adult. We're socialized to be racist, and that's not going to change any time soon.
So don't try to tell me that you're not racist, because the facts say differently. And like I said, if you're aware of it, you're less likely to be ignorant about the subject. And stop making this poor girl feel horrible about one comment made in poor taste. Because more than likely the people making the biggest deal out of it are the biggest hypocrites in this situation. It's called projection.