I have looked at the future and my greatest concern and fear is that no matter which path I took, there would be so much pain along the way. Pain that might never go away. If in the future I left, the pain of being away from my kids and the person I love would be so much. If I stayed, the pain of remembering what she did might be too much.
Welcome to SI. The club nobody wants to joint.
Here on SI, we frequently refer to infidelity as feeding the betrayed husband (BH) a "shit sandwich". Your quote, above, describes the shit sandwich with exact precision. Your wayward wife (WW) has just handed one to you, and because of her decisions and choices, this is your only menu. You can thank her for presenting you with that Hobson's choice (stay married to a woman who decided to fuck another man, or don't stay married). Essentially, "the Devil you know versus the Devil you don't know."
I'd recommend as a first step that you go to The Healing Library (yellow box, top left of this page). Find "Joseph's Letter", print it out, read it, and give it to your WW. Also, read about The 180. This is NOT a punishment for your WW. It is a tool to give yourself some psychological space so that you can find your heart's truth.
If you think your marriage might be a candidate for reconciliation (R), there are two books that are usually recommended here: "How to Help Your Spouse Heal from Your Affair" by Linda MacDonald, and "Not Just Friends" by Shirley Glass. You ought to read them, and have your WW read them too.
What I have observed from years here on SI is that details matter. It is natural and normal that you will have feelings of anger and betrayal. However, you should also expect to feel things like emotional trauma, emasculation, and sexual humiliation.
I would note a particular quote in your OP that jumped out at me:
She says she loves me but we both know that we not being meeting each others emotional needs for a long time. She also has had an ability to draw a line through something and move on. Much like how we argue. She moves on quickly. It takes me a little longer.
"We both know that we were not meeting each others emotional needs for a long time." That is blame-shifting. A very common initial response. Keep in mind that you were in the same "not meeting needs" marriage that she was, but you didn't decide that the way you would resolve this would be to fuck another woman. In contrast, your WW decided that her approach would be to decide to fuck another man.
This dovetails with the rest of your statement: "She also has had an ability to draw a line through something and move on." This is a soft way of saying she has a short fuse and perhaps is less invested in the marriage than you are. Have you been walking on eggshells for a long time in a self-sacrificing attempt to preserve/salvage the marriage? Perhaps this is an opportunity to take a clear-eyed look at the actual woman you are married to, as opposed to the fantasy woman you wish you were married to. Your actual wife: short-tempered, moves on easily, makes conscious decisions to lie and sneak and fuck another man rather than invest herself into improving the marriage. That is your actual wife.
I point that out because R only works if she seeks individual counseling (IC)to figure out what is broken in her moral compass that prevents her from investing into the marriage and choosing instead to have sex with somebody else. To make herself into somebody new. Somebody worthy of your trust. Somebody you would choose to marry if you met them today.
Which leads me to another quote from your OP:
I am booked in for my first session with a psychologist tomorrow. I am hoping they can teach me strategies to forgive, forget and be future focused. We then see a different marriage counselor together later this week. I am hoping they can help us find a path through this
Why is she not booked for IC? She is the one with the fucked up moral compass. She is the one who decided that her marital vows were conditional. She is not a safe partner to you.
Until she is fixed, MC (marital counseling) is a waste of time. In fact, it's likely to be a negative. SI is the source of huge amount of crowdsourced knowledge gleaned from first-hand experience with infidelity. Bottom line is that MC doesn't work where one partner is not married. Your WW's definition of marriage, at present, is that she is free to choose a secret, one-sided open relationship if she wishes. You can't fix a marriage where one partner has that mindset.
Besides, MC's are mostly charlatans who don't seek the truth and have zero experience with sexual trauma. Rather, they try to keep couples married, even unhappily. They will mostly try to get the BH to blame himself for his WW's decision to take off her panties and allow another man to put his dick inside of her. The will use words like "mistake", as in, "forgive her mistake". She did not make a mistake. A mistake is forgetting your car keys, or using baking soda instead of baking powder.
Your WW made probably hundreds of individual decisions as she strategized how to set up lies that you would believe so she could go have sex with another man, then return home and look you in the eye and lie some more.
In fact, if I understand your OP correctly, your WW started her A in the context of pandemic quarantine. Somehow, she met another man and decided she wanted to fuck him. Therefore, she set up a mechanism to get out of the house under a plausible explanation that you would believe. And she continued this through most of 2020. That's a lot of effort for some dick 6-8 times.
Among other things, she exposed you and your kids to a secret vector of possible Covid contamination. Because she wanted another man's dick inside her. Also, assuming the sex was unprotected, she exposed you to STD. By the way, no sex with the WW until you have both been tested.
As an aside, who is the AP? A friend? Co-worker? Former lover? Is he married? You should absolutely tell his betrayed wife (BOW), and do it without first telling your WW. If the tables were turned, wouldn't you want the BOW to tell you? It's the right thing to do.
How do you know now that they are NC (No Contact)? Have you seen their text messages or other communications?
Your post, quite frankly, is infused with hopium (the most abused drug of BH's everywhere) and an undercurrent of what we call the "pick-me dance". Please hear us: this never works. You cannot "nice" her back. The betrayed husband never succeeds in driving R. R ONLY works if your WW takes up the laboring oar, reads the books outlined above, offers up boundaries, takes affirmative steps to fix herself and the marriage.
Tell your WW that you understand her decision to secretly open up her side of the marriage, but that this is not consistent with your definition of marriage. Tell her that she is free to continue seeking other partners. You will not stand in her way. But she can't do it as your wife. Therefore, you will be taking steps to end the marriage. If she feels that she can change herself into a person you want to be married to, then she can come to you with that proposal.
Remember, actions speak. Words are meaningless. Right now, her actions are to decide that she is free to have sex outside the marriage and only supposedly stops when caught. Her words are meaningless.
[This message edited by Butforthegrace at 8:14 AM, January 19th (Tuesday)]