I think all you can do is lean into it. Assuming you think the terms are fair, don't fight her. Being divorced is not the same as being done -- only you decide when you're done. Give her some space and time to be apart from you, and you use that time to your best advantage.

I have yet to see any value in procrastination, it will just push her farther away

I'm very sorry you find yourself here -- cheating on and divorcing a wounded combat veteran is a tragedy, but you have proven how strong you are and how much you can take. You'll get through this too.

Acc

Married 18, Together 20, Now Divorced
M: 48, W: 50, D: 18, S: 16, D: 12
Bomb Dropped (EA, D): 7/13/11
Start Reconcile: 8/15/11
Bomb Dropped (EA, D): 5/1/2014 (Divorced)
In a New Relationship: 3/2015