I can see why you don't trust your wife, you're in a difficult situation. I don't know what I would do if my spouse cheated on me, it would take me a long time to trust him again.
I think counseling is a great idea, marriages can continue even when a spouse has cheated.
If you love your wife, try everything you can to keep your marriage going.
Counseling may reveal why your wife felt the need to cheat on you.