But another reason might be that by not telling her, I'm keeping the door propped open for relapsing. I don't want to think that, but the alcoholic mind is devious. Relapse will be a death blow to my recovery, and as Lexie pointed out, "...without recovery, your relationship is likely to suffer greatly."
This is awesome, and I completely appreciate your candidness here.
But...
You're right it's imperative that I tell her, for my recovery's sake.
and then...
Without recovery, it's not likely to matter what I do or don't tell my wife.
It does matter. Whether you're in recovery, or relapsing, or wanting to hide the problems, honesty in a marriage matters. It says to your wife, "I respect you. I trust you to handle the truth about this part of who I am." It gives her the dignity to respond as an adult woman with a clear picture of her reality.
It sounds like you plan on coming clean with her, ***Applause from the SR F&F crowd*** and I sincerely hope you do. I don't mean to sound negative with the above, but I felt like there was some contradiction in your words.