You said awhile back the OM has a family....does the OM's wife know what is going on???
If not, you should tell her. Don't warn or threaten your wife with this or they will circumvent you doing so by intercepting your contact and portraying you as a jealous controlling [lying] husband. Just tell her the truth about her life so she can protect herself and her family from her husband and your wife. Regardless of the outcome of your situation, she has a right to know. As a Christian you know it's good to expose evil to the light. No more secrets. No more lying.
Married 16 years probably means your kids are old enough to know to. They must have been wondering what mom was doing in Europe FOR A MONTH. Your wife may be a liar and a cheat but you don't have to be a lie or cover up for her. I'm not suggesting a nuclear exposure like other forums but rather that you're honest with your kids when they ask questions. That your kids know that, at the very least, they can always count on you to be honest with them.
I've been recovered over a decade from my wife's long distance affair.
The internet is 90% complaining and entitlement and I hate it because I deserve better!