He has been involved with this female for a couple of years now. It is hard on everyone because we are always around each other by this I mean our kids are in sports together and we live in a small community. I have no problem staying away from her and I don't talk to her, but my husband says that he doesn't understand why I can't be her friend for the kids sake. I asked him how I can trust her and him. I am so angry with her that I can't be her friend. He says that they have never been sexual. I have only asked him to not talk to her, don't call her and don't be around her. Is this too much to ask of him since he has been kicked out of our house twice and he is out again, but he left on his own and now he wants to come back, but he doesn't think that he has done anything wrong at all. What do I do?

He's gone? Change the locks and don't give him the new key! It doesn't matter if he swears he hasn't slept with her yet. You're his wife, if you tell him that you are uncomfortable with a relationship he has with someone else he needs to respect that. And there's no reason fer you to be her friend. She's the one being a homewrecker. You should be civil, but that is entirely different than being friends.

However, if you don't trust you husband, you will eventually drive him to do the things that he is accused off.
Without trust, your relationship is a no go from the start.
Ask the woman straight out. You can tell if she's lying.
Or go out yourself and see what his reaction is.