Re: Emotional Affair - how to deal with it.
That is definitely an Emotional Affair and I suspect he is lieing about the physical part.
No Contact with the other woman is the only way to go. She must be totally removed from your lives.
One thing about sex - it is vital for a successful marriage. Do hold hold back on sex because you are resentful. This can destroy your marriage - he's your husband, he does not have to 'earn' the right to have sex with you.
If you suspect that any more is going on, my suggestion is to confront him and lay the law down - if he does it again, the marriage is over. Do not let him string you along with this - cheating spouses tend to do that.
Hang in there! You're on a forum with a lot of other people with similar experiences and are willing to help.