Should I ask step-sister to leave the house, making her homeless?

Anonymous

Our mother passed away a few years after my brother was born, and our biological father remarried. They divorced a few years after I moved out, and my biological brother moved in with me because it was nearer to his campus, while our step-sister left with her mother.

Recently, she came to me asking if she could stay because her mom kicked her out over a big fight after she came out to her. Neither of us had a good relationship with her, because of her behavior (she would steal from us, and physically assaulted me during arguments). I was not keen on letting her stay, but my brother said we should let her stay until she gets back on her feet so I relented.

But she started doing other things, like bringing her girlfriend over without permission, or smoking in the shared toilet, which caused more arguments. The final straw, was last week when I got a phone call that her girlfriend got into a fight with our brother, and that she got hurt.

I rushed back, to find him on the ground in pain, and we had to rush him to the ER because of her. He was the one that got hurt but she did not tell me that (her girlfriend had a cut lip, while he had a more severe injury) and he had to be rushed to the ER because of her.

Apparently, he scolded her for smoking and she said something about our mother, making him to shove her, causing the fight. (Because he could not walk for a week, he had to stop work to recover and wanted to press charges but changed his mind)

I want to kick her out of the house for good, but I have not had the time to talk to her in person and we are afraid she will have a violent reaction. And I am also feeling a bit of pity for her, because she is not doing well and might not be able to get a place to stay if I do.

tldr: My step-sister got kicked out of the house, I offered to let her stay but she is causing problems and her girlfriend even injured my brother, am I the asshole if I ask her to leave?

Should I ask step-sister to leave the house, making her homeless?
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