There is no law which says you can't go to AA if you've had a drink.
I think you know having that one drink is too much. It's the same every payday. It's been said before but when we keep doing the same things we need to do something different in order to recover.
I get it. I'm only on day 5 but I'm not kidding myself and making excuses. I drank over Christmas because I wanted to. I can get 5/6 weeks then pick up again. I need to do something different if I want to stop. OR I ask myself maybe I just want to keep drinking occasionally more than I want to be sober?
Maybe ask yourself the same question. We are never going to get sober until and unless we want to be sober more than anything and are prepared to do anything to do it-not wishes/luck/willpower/ not drinking just cos we've no money. It has to be a proper commitment with action.
wishing you the best