Is it immature of me not to allow the girl my boyfriend was cheating on me with, around my babies?

my boyfriend and I were together for 2 years. He cheated on me and left me pregnant with his twins at 32 weeks pregnant. The girl knows who I am, knows I'm pregnant and has done this anyways. I have to deal with him but I don't want her around, she trash talks me and keeps doing my ex from working with me in terms of our babies and our finances. I went into pre term labor and she was preventing him from attending. I just don't want her around until much longer down the road.
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Is it immature of me not to allow the girl my boyfriend was cheating on me with, around my babies?
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