I don't know what to do.

Shalom

So I'm due sept 12th, I live in an Rv with the father, We have a cat (mine) and a dog (his). His dog goes over to his parents during the day. Now my cat, she's very loving towards me, but hates almost everyone else. She's not mean, per say, She's tolerant. I've had her for 4 years, she was a birthday present. But the reason I'm making this post is because my bf is worried that she'll hurt the baby. And where she has become more hyper in the morning and follows me around like a stalker, I don't think she's a threat. So I need advice or prayers or something...