At the end of the day, Azealia is an artist and she's sensitive about her shyt.
Her and Nicki are similar because they are confident in their talents and feel like as black women they have to fight for their right to be heard and to maintain creative control. Where as a man is seen as assertive and a boss, a women doing the same is mostly seen as bossy and a bytch. Some women overcompensate and see arrogance and bytchiness as a way to get respect.
Then both are NY girls and NY culture is full of arrogance, dissing and being loud and opinionated. I think the difference between them is Nicki is in the game for the money and fame and Azealia is in it for her art and to perform.
Azealia has no filter/ no chill and uses twitter to voice her opinions. She loves the interaction. I don't think she is trying to be labeled a militant or anything. This is just whats on her mind.
Also, Azealia fought for her rights and control, which is what got her dropped from her label but she is better for it. People do know her. She's been touring for the pass couple years and has a net worth of $3M. She's pretty much an independent artist and can afford to say the things she says.