@Apple1979,
The real question you need to answer my friend, is whether you want to start a family with someone you don't trust already.
You sound like the victim of the situation, but you're not. Take responsibility of what your mind tells you. You see her as a cheater, you didn't really believe her when she told you about the raping, but then again, you still want her in your life.
So to give you an example, let's say I cook some food for you, and you say to me, this food is disgusting but I want you to keep cooking for me, give me one reason why should I keep cooking for you?