I believe reconciliation or divorce are both valid choices. However your husband is still in an active affair and therefore he isn’t reconciliation material.
I am in a bit of a rush so I have rehashed a previous post of mine.
Couples counselling - I advise you sack the counsellor on the spot at any mention of Unmet Needs. You didn’t cheat, the marriage didn’t cheat - Mr cheaty has the issue. He thought having an affair, in secret, was a valid choice. He needs to work out why he thought that was okay.
He allowed himself to open his door to this woman. When he first overstepped the line he knew he was doing wrong. He isn’t taking responsibility for his choices. He had an affair because he wanted to. He cheated because he felt it was a good choice for him.
He needs to figure out his whys. He will have poor personality traits that enabled him to do this: low self esteem, requiring ego kibbles (smoke up his arse), external validation, addiction issues, risk taking behaviours, people pleasing, inability to self soothe, instant gratification, poor coping mechanisms, poor communication skills, low integrity, dishonesty, ability to compartmentalise etc. Knight in shining armour complex (KISA). He needs to figure out his reasons and do the work. Unless he fixes the issues he will remain capable of cheating. Sadly the traits that allow someone to cheat are the traits that mean someone finds it very hard to do The Work involved in creating a new successful marriage. They want to minimise, omit the full truth, rug sweep and push you to get over it. They play the victim and blame the relationship (or you) for their crappy choices. They experience regret but not remorse.
Cheating is easy, it’s not because a person is sexy or desirable, anyone can cheat. Just download tinder or pop to a sex club. I choose to remain faithful. It’s a choice that I make. My vows mean something to me. I don’t cheat for me. My husband is really annoying at times, I don’t remain faithful for him. That would put him in control of my behaviour - which is daft. I could even twist that logic and say if he does A I am faithful but if he does C I flirt with my administrator or the man at the bar. So I am not faithful for him, I remain faithful for me. I want my word, my self respect and my integrity to mean something to ME. Because I matter to ME. What am I if my words are meaningless?
Try reading Not Just Friends by Shirley Glass and how to help my spouse heal from affair. The website surviving infidelity will help too.
What I will say is you need to be prepared to lose this marriage. You need to push Romeo off the fence. You seem relatively calm so seek legal advice - do not tell him. Use his dopamine fuelled state to get your affairs in order.
But do not accept any unmet needs nonsense with the counsellor. Your need for honesty, integrity and reliability aren’t been met - how will shagging the postman (mine is always on time and never steals my birthday money - so honest and reliable) fix your marriage? It won’t.
Google the 180.
Get onto surviving infidelity website.
I wish you well but you need to prioritise you (not your marriage). The time to fix the hole in the roof (your marriage issue) was before the affair. He popped a grenade in and blew up the house. Until the basement is swept out you can’t work on your marriage. Trickle truth and holding onto his low integrity Juliet means he hasn’t swept out his basement. There is no marriage to fix.
Sorry I’ve rehashed this but I’m struggling for time and wanted to reply.