Hang in there. You are in shock and pain right now. Try not to think about this all the time. I know that is hard but you really need to try.
Forgiveness is not about saying that what you did to me is ok. It's about letting go of the pain and anger your feeling.
It's very new for you right now. Your husband seems to be doing the appropriate measures. (this is huge!!!! There are many on this forum that would like all the passwords to emails and a spouse that tells them about contact with OP).
I recommend Not just friends by Shirley Glass (excellent reading). You can google her name and get a question and answer interview with Shirley from 1998 which is very good. A bit dated but good.
Google Penny Tupy. Excellent information. I also like go ask Suzy's website.
Things to remember: This takes time.....a long time to heal. And YOU Don't have to decide today what you want to do with the future of your marriage.
Give yourself a year. Yes, I said that. Go to MC with husband, go to therapy yourself. Educate yourself about affairs, the how, why and where. Know what your husband should be doing if he wants to keep the marriage and what you should be doing.
Then you can decide.
I have been there... the how could you do this to me. Guess what? He did. That hurt so bad.
One day at a time. That is how all this works.
You are in the right place. This forum has contributors from all over the world, so the time zones contribute to a lack of activity.
On this forum, look at posts from Allen and Puppy. Great outline on what needs to be happening.