I had this too. I have no issue with strippers, I have a couple of friends who are strippers, escorts, porn actresses etc so I know how it all works.
I didn't want DH to have a stripper, not because I don't trust him, but because I'm so insecure about my body the idea that he might think "cor I wish crumpets looked like that" is absolutely devastating for me 
When DH had his stopper it was his choice, he went for a private dance. He told me, he told me he hated it (not just saying it, I knew from his face) he was so sorry he'd hurt me. He was curious.
I slept in the spare room for a week as I didn't want him to see me and all my fat and stretch marks. I was really hurt that he did it. He was really upset he did it, and felt even worse when he knew how hurt I was.
His friend and best man kept going on and on about it, he regularly has lap dances so wasn't an issue for him. And it was hard for me to keep quiet and laugh it off.
We dealt with it. I just had to suck it up. It was my insecurity that was the issue. If I'd been happy with my body I knew it wouldn't be such an issue for me. It was unfair to keep punishing DH for 1 mistake (which he was genuinely sorry for) and my body issues. Plus she kept putting her hair in his face, which I know makes DH feel sick, it's like nails on a chalkboard for him (I admit I took great pleasure in that fact!) so I knew he genuinely didn't enjoy it.
It took a while but we got there. I would tease him about if for ages. If he walked past me in just his boxers I'd grab a tenner or twenty from the cash pot and slip it into his boxers and tell him "dance for me bitch" 
Made me feel better, and made him a little uncomfortable which was mean of me, but satisfying too!! I also threw away the trouses he wore during the dance.
3 years on its not even an issue.
So I'm giving you a hug and I'm going to say it will be fine. It was a one off, drunken mistake. It doesn't even seem like it was his choice. It's good he's been honest with you, just make it clear that you're upset and why you are upset.