Hi gds. Welcome to SR
Maybe your wife is in denial a bit about your problem... She might be afraid she's going to have to repeat the past all over again with her current husband. With time, I bet she'll relax a bit. It might be a bit frightening for her, I imagine.
Regardless, if you think you have a problem with alcohol you are taking a good step by coming here and attending meetings or whatever is going to work for you to get sober. AA works for many, but there are as many ways to recover from alcohol as there are alcoholics. Figure out what works for you and stick with it. Eventually your wife will realize that you're not her ex and it's not going to blow up in her face - Only if you stick with it, though.
Anyway, that's just my sense of it as an outsider with very little information.
Best wishes