I don't normally give advice, but there are aspects of her response that I recognize.
I'll start with the fact that you and I are somewhat similar. I went through discovery of an LTA or two.
The fact is she can't turn her emotions on a dime. Unfortunately, that's what you need to happen. It's a paradox. You can wait it out and see what happens, but I wouldn't trust anything here even if it looks perfect.
What I want you to look at is the mirroring in her response. It reads like a sales pitch. That might be understandable... She's using the tools she knows. Maybe don't read too far into it.
This is likely the line of thinking "crud, he's found out my affair and I'm about to be outted. I need to nip this issue. But how? Give him what he wants and I'll keep my marriage and get myself out of this mess." The part that no one knows is if she will follow it up with "once this dies down, I can end the relationship for a reason that's not about the affair. Maybe when the kids are older in a year or two."
I just wouldn't trust this response. She may believe it, but I would not trust it.
How else could this play? Her emotions and body have been in this for two years. You don't turn off those emotions on a dime... No human could. It's understandable.
This response is "please help bail me out of this mess (that you're at least partially responsible for) and I'll do anything you want.". That's a normal human response. That's human.
I used to be a lifeguard eons ago. One of the things they teach you right off is that a drowning person is desperate and they'll pull you under with them. They teach you holds to avoid that, how to swim the drowning person in, and also ways to get out of being pulled under.
This is your WW clinging to you because she's drowning. It's normal and human. It's understandable. But also, dangerous. You could get drawn back into it in a way that does not heal this whole thing. You love her and your heart wants to go back to normal. But, right now, the person you love is a ghost. At this moment, the person you love does not exist. It's a fantasy. Maybe the person you fell for comes back, but it's not the person in front of you now.
At the end of my marriage (and yes it ended) I wanted my WW to be happy. It was clear that she was not happy with me and had not been for a long time. She was clinging to the security of our relationship and saving face but there was no "love" left for me. That had been gone a long time. And I couldn't put myself or her through that... A loveless marriage of convenience. So, I let her go find happiness. I considered it a kindness and I have no idea why.
And that's where your wife is now. It can't be love for you; she can't turn on a dime. I don't think that's how emotions work. At least, they don't work like that for me. What could happen is the turn on a dime to divorce, and she's trying to avoid that.
Maybe you two work out. Maybe you don't. But I would not put much faith in a letter that blames Jesus for her woes. I'm sure she passed a church going to meet him. Their doors are always open. She could have walked through ok her own a hundred times without this guiding her.
See who she becomes. See what your relationship looks like. Protect yourself legally and don't be afraid of life after the end of a marriage.
If she just wants to save face, then two years down the line she could either be the perfect partner or she could be the one saying "he never really got over it and we realized we were fundamentally flawed as a couple so I ended it" OR "he was so absent because of his work that I fell in love. I tried to make it work but he became abusive so I had to leave."
Again, no idea who she is or how she is. Maybe give it time, maybe not, but everything happening right now... I wouldn't put much stock in it.
Also, if you want a beer I might be close to your area. God speed man.