I agree with Jessi. You can have "normal" again, it just will be a different kind of normal.
Make & keep your marriage strong so that nothing like this will ever happen again. Sometimes try to look at things in a different perspective and that helps. I think you can take any bad situation and realize it could be SO much worse. Your H had an EA that consisted of talking and hugging........oh how I wish mine only talked and hugged!

Feel fortunate you don't have to deal with the knowledge and thought of more. ALSO feel comfort knowing he hasn't had any contact with her and is there for you now. It sounds like he is trying (being sweet, etc.) That's good news too!
Not sure that helps at all, just trying to throw out things I do to try to get through this mess. As Jessi advised, I too try not to let the situation take anymore from my relationship. You can't control what has happened in the past, but you can do everything you can to be in control of what happens going forward. Best of Luck to you!