I think the reality is that when she moves to an adult prison, she will be just fine.
It's true that women in general do not tolerate this sort of behaviour, but it's highly unlikely that anyone will actually do anything to her. She might end up in a scrap or two.
Women in prison are usually focused on their own sentence, behaviour and release. They tend not to do anything to jeopardise their privileges, release date, visits, etc.
SJ won't be popular on the wing, she will be ignored, made to feel uncomfortable, people will spit in her food and stuff. I'm not saying she will have a pleasant time, but this idea that people sometimes have of retribution, it just doesn't happen. It very rarely happens in male prisons.
Some of the most vile women you can imagine are living alongside the general population, as women's prisons do not have the space/need for vulnerable units. Sometimes people might get put in the segregation unit for their own protection, but people aren't going to put their neck on the line for SJ, she's just a nothing.