On the betfair forum, someone very close to a Little Mix girl-band member has stated the reason why Tulisa had a go at Misha (Tulisa was probably given the green light by producers too)
Supposedly Misha had already had a go at Sophie for one reason or another in the house. Then when Nu Vibe left, Tulisa took the Little Mix girls into their bedroom, and supposedly while away on an afternoon photo shoot, Misha took it upon herself to throw all the girls clothes and make-up out of their bedroom and into the hallway so that Misha herself could have the bedroom
Thats why Tulisa was given the green light to say about the bully stuff to the nation, and since then they have been trying to clean up Misha's act, they have not wanted to get rid of her, but simply ensure that she changes her ways because they obviously see great potential in Misha.
It is also why Kitty and Misha dislike each other massively, because I have read in an interview with the Little Mix girls that they saw Kitty as like an older sister, so I am sure Kitty was quite protective of them.