Confused, I would urge you to take it slow. Right now your are a boiling pot of emotions and what makes sense to you now will seem irrational few month from now. You are going to go through the RAINBOW of emotions, from love, to hate, to hurt, to anger and every time you will act differently.
Do no use words like forgive, move past this or anything similar to this at this time. There is a time and place for this and few days after DDay is not that time. When this happened to me, I told her and everybody there were no guarantees and that the only thing I promised is that I would not make any decision for 6 month and in the mean time try to work on the marriage.
Right now, your WW needs to understand the depth of the situation and that she destroyed the marriage -- if you choose to reconcile that should be treated as a gift not as a given.
First and foremost, decide what you want to do in a short term (don't make any long term plans). Do you want to reconcile or do you want to separate.
Assuming you want to reconcile, very short term until the fog lifts here is what you need to do:
1. Make marriage a good place to be
2. Make marriage a difficult to leave
3. Stay calm (can be very difficult) and take care of yourself
Your next task should be to get
1. Get full story (level of detail up to you) but context and all that happened is a MUST. It will be painful and she will lie / gaslight you but you must get all of it. The reason for that is that your mind will fill in the blanks and it will be worse than the truth. Also any new information disclosed after healing has started will reset you back to DDay #1.
2. Lift the fog / shatter the fantasy world. There are many ways to do this but in your case I would recommend transparency (it has other benefits too). Don't keep the affair secret -- you did nothing wrong. Expose it. Expose it to her parents, your parents, Military (VERY IMPORTANT), a few trusted mutual friends. The shock will help snap your wife back to reality -- that what saved my WW from her fantasy.
By exposing this to Military it will pit your WW vs her MOM and create feelings of hate between them. It is very important because that would reinforce the NC.
You are at war right now for YOUR marriage. Think, plan and act accordingly. Things that are best for your marriage long term might hurt short term but they are necessary -- don't sweep this under the rug and forgive 4 days after DDay.