I wish you all the best.
I believe that trust can be re-established in couples, but you should not question yourself at this point.
I sounds like your AH has not worked a strong program of recovery. Putting down the drink is just the beginning of a life long journey to a healthier, better life. Without the rest, in my experience, things can even get worse.
You are doing so well in taking care of yourself, regardless of what your AH
is doing. That's all any of us can do.