I really like Natasha, too. Her lifestyle (situation) is quite alien to the other girls, but I think she is working hard, in her way, to fit in with them. The other girls really don't understand or respect where she has come from, but I haven't seen anyone sit down and have a respectful conversation in this - their questions (as shown on the program) seem judgemental to me. They're lucky American girls, life is much different for beautiful young women in the US, and although some of these girls may have been exposed to some less than desirable situations, I'd guess it's quite likely Natasha understands "survival" in a way they likely won't experience.
It seems like she's not really listening to feedback, but she really makes an effort based on the judge's suggestions. I think a lot of her back-chat is a reflex, I suspect she's had to do a bit of fast thinking/talking as a strategy in life, as well.
Natasha has a bit of the air of a wounded bird about her. She works hard to appear harder than she is. I'm sure that was a survival mechanism, too. I think she is one of the prettier girls, too, along with Jaslene.