Allow her to make her decisions. If you are no longer involved in the affair (ie you have told OW you no longer want to see or communicate w her because you love your wife and want to reconcile = burn the bridge between you and OW) and you acknowledge your contribution to the deterioration of the relationship and you are willing to wait patiently (average 4-7 years) for your wife to heal from your betrayal then simple tell your wife that you respect her decision to divorce you but you strongly believe that you can work things out. Say this every now an then and leave it at that.
Again, allow her to make her decisions.
Take care.
M 42 H 39 T10 (-2yrs separation) S8 D5 DD 7/30/11 (EA&PA) Reconciled 6/2013 Separation in works 1/2017