Maybe you're ugly and she was just trying to be nice
Seriously though, I don't really see it as being too racist. Maybe she doesn't think white/chinese/black guys are good looking.
Maybe it's a religoious thing. Is it wrong for a jewish man to only want to date Jewish women, because they share the same faith? I wouldn't want to date a scientologist beause I think my beleifs and theirs would not work out, does that make it racist?
If someone doesn't want to hang out with people because of their skin/religion/whatever, fine, that is probably a little racist (ethnocentric would probably be the more apt and less harsh sounding word, though it really is just semantics at that point), but as long as they don't disrespect or mistreat those people it's not that bad, and it probably isn't something you should get upset about.
If it's a religous thing, I'd say she's 100% in the right, if it's more of a skin colour only issue, I'd have to say a girl that closed minded isn't worth the effort anyway.
That's the real kicker, I wouldn't want to hang out with people who would only hang out with x-type of people, so it doesn't bother me if I'm not in that x-type and they don't want to hang out with me.