LR what is the current situation between you & your wife?
Are you legally separated?
What about custody, is it legal shared/joint custody?
Who decided to move out? Did she ask you to move out? Is it still your home?
I'm telling you all of this because I was out of my home for several months and when my wife started pulling all of this same crap, the switch finally flipped inside of me that I wouldn't be disrespected anymore.
Are you going to flip that respect switch on and demand respect for yourself or are you going to sit in your little apartment posting on this forum about how much she's hurting you and giving us all the details.
If there is no legal separation in place, I'm going to ask you to do what needs to be done and you're going to decide hopefully to do it if you want any chance at turning this around.
Move back in.
Any excuses you have as to why this isn't possible don't matter.
Move back home.
If that is your home and she is having the other man over there and you aren't there - you need to move back home.
She can stay or she can leave but she can definitely stop having that OM over to feed him steaks & sex. It may be the scariest thing you'll ever do but it will be the best thing you can do.
You need to start respecting yourself and that means standing up to your wife and stopping her crap treatment of you.
Don't ask her if you can move back in. You're not seeking her approval. You have to have the attitude that this marriage is done, in fact the sooner you have this attitude, the greater your chances of turning this marriage around will be.
Move back in.
If you are legally separated and you have agreed on paper to move out, have it changed, spend the money on a lawyer and get it done. If you're name is still on the title of that home, that means you are still the owner (half owner at at any rate) and no one can force you out of your home except for you.
I hope you read this soon and get off your duff and grab those raisins you call balls out of your wife's purse and do what's best for you.
The several months leading up to this point have demonstrated that whatever you have been doing is not working, in fact, the opposite has occurred, your wife is feeding another man and having sex with another man in your home. If this doesn't make you realize that your situation isn't going to change unless you make it change, nothing will.