Azealia triggers the fuck out of another celebrity cow I enjoy, Cardi B, so she's based in my books.
She and Cardi went at it on Instagram a few years ago, and Azealia burned her so fucking bad that Cardi ended up deleting her Instagram for a few days.
If you like Azaelia Banks I highly recommend the interview, she is a well-spoken lady and the media spun the story to make her look bad in Cardi's favor (this isn't shocking, since Cardi pays off journalists and news outlets to give her good press). I've timestamped the particular clip, but in an interview with the Breakfast Club she was talking about the state of female rap and music and how we've gone from Beyonce and an album like Lemonade, for example, to someone like Cardi B and Invasion of Privacy.
Of course, Cardi chimped the fuck out when she was called out for being a caricature of a black women and had her lack of talent outside of dancing on a stripper pole put on blast:
As noted in the OP, Azealia has a tendency to delete her tweets, so her responses are no longer available for archiving however there are still quotes. This was her response:
Clearly, Azealia was too much for Cardi to wrap her mind around because she posted this before making her Instagram private and then deleting it entirely later on:
And, of course, based Azaelia responds...
As far as I know, Cardi doesn't really give her the time of day anymore (I'm guessing on the advice of her PR team) but Azealia still manages to get under the skin of her sister, Hennessey:

She certainly has a way with words. I like her music and she brings me lots of laughs.