"Baby mama " drama

So I've been with my bf for a while now and also been dealing with this dumb broad for the same amount of time ever since I got with him she's been I guess you can say a little bitter. She calls him a bad dad on social media sayin he does nothin for his daughter which I know for a fact is very untrue. She also says she wants me nowhere near her child but me and my bf live together so if I'm the home when she brings her daughter to the house she immediately puts her back in the car and drives off. She's even gone so far as to say that my baby is not his and he needs to get a DNA test done when she's born. I just don't understand how someone can be so ignorant and hateful I'm getting to the point where I will not tolerate the disrespect anymore.