Would you like to work on the relationship with your wife? If yes, then I personally think your decision is not a very effective one. It does not provide resolution to either you or her and likely the emotional conflict will just snowball in the future. I am not sure that trying to suppress the emotions will do good to you and your recovery either, even if you don't consider your wife and your connection with her.
OK it may just be me, I am definitely a freak for honest communication in relationships. Especially in recovery.
I would say wait a day or two. That anger might change.