The existence of different races doesn't make it automatically into an issue. Dany gets treated different a lot through out the books; for being a female, for her white hair, for her status as queen over people that are not hers, over every thingand anything. She would not have have been able to survive outside of the Khalasaar if it were not for her dragons, and she would have gotten exactly the same amount of success if her skin was black. She's a "character", not a "white character" (Force I hate this "X character" trope).

As for the Khalasaar, she never treated them in any enlightened way save for forbidding rape, which I find hard to manage to title as 'enlightening'. Everything else, she learned from them. She loved them, she wanted to be part of them. Her brother, on the other hand... I don't think I have to elaborate on that.

The Free Cities are European? I'm going to have to disagree. With descriptions and feel, they feel more like international ports where everyone is welcome and whatever fueds happen tend to focus on those who aren't travelers passing through. We've seen it all from them.