You don't wanna tell him you were snooping for many of the same reasons he didn't want to tell you about his infidelity.
You're gonna lose a few points in his eyes, he'll be disappointed and unhappy with you.
He might throw a fit and get really angry. Then you'll have to "face the music" because you both know you deserve it.
I don't think the snooping was so much a matter of you not trusting him - but more that you didn't trust your intuition and needed to confirm it and know that you weren't being paranoid.
I believe in total honesty. Fact is he IS untrustworthy, fact is you WERE/ARE snooping.
I DON'T BLAME you for snooping, I've done it so I can't throw stones.
Honest people have nothing to hide, right? So get his password. Just say: "Mister, you know you're in the doghouse. Being monitored to relieve my anxiety is one of the things you're gonna have to endure. What is your password? What accounts do you have? I want to believe you're not gonna sneak around. I need to SEE IT FOR MYSELF that you're not emailing OW's and future OW's. I'm sorry, I wish it wouldn't have to be this way but I am pretty gun-shy right now and need this. It's not gonna be like this forever, you know."
Maybe he already knows you were snooping, and he was dangling the offer to give you the password hoping you'd confess. He was hoping you'd be honest with him also.
It's time to build your marriage on a foundation of honesty and openness...then the trust can come later.
