First of all, you did the right thing for two reasons: You extracted yourself (and your daughter I hope) from a bad situation, and you have made it clear to him how important this is, giving him an incentive and a timeframe to get his act together.
Secondly, although most call it a disease, I beg to differ. A disease is something you contract or develop without a fault of your own. You may have a predisposition to becoming addicted, but to actually succumb to your addiction is a voluntary - if gradual - step you choose. Once you realize you are addicted, you can come clean, even if it is hard. You can quit drinking, but you cannot quit cancer, psoriasis or any other REAL disease. Calling it a 'disease' is a PC term that does more harm than good.
American Heritage Dictionary for 'disease':
"A pathological condition of a part, organ, or system of an organism resulting from various causes, such as infection, genetic defect, or environmental stress, and characterized by an identifiable group of signs or symptoms."
Unlike smoking, obesity from overeating, or drinking too much coffee, an addiction to alcohol is personality-altering in the long run and incapacitating/intoxicating in the short run, making it a lot more difficult and dangerous to deal with. By calling it a disease, the 'victim' may say or think: "See, a disease, nothing I can do about it, not my fault." Wrong. There's only one 'cure'. Absolutely no alcohol, be it AA, a strong will or total isolation from the substance. After the worst symptoms are over, he can NEVER IN HIS LIFE touch another drop, not even inside a chocolate praline.
Dealing with society is easy. If you say you are an alcoholic (and he always will be, even after being 'clean' for decades), nobody will hold it against you, if you drink coke, coffee, ice tea, water, OJ or milk instead. As a spouse you may choose to do the same to help him.
But since you asked for advice and not a regurgitation of medical definitions, here's my 2 cents:
- Tell him that he has a choice: Either down the drain with alcohol or a good life with you and his daughter.
- Tell him the choice has to be made by next weekend (give him some time to think it through during sober moments), not in the vague future. Put a date on it.
- Tell him that you will support him, but you will leave for good, if he ever has another drop (whether he is drunk or not). Of course, you need to make an exception for medicines that only come in that form, but the doctor needs to know of the danger.
The good news is that I met a couple of clean alcoholics, so it is possible. They all had to face a wake-up call, and they have to really want it. The alternative to go back to drinking should not be a viable option.
From your perspective, look at alcohol as 'the other woman'. Would you be OK to share him for a night per week? Per month? No, it is EITHER/OR.
I wish you luck. Be firm! It is his fight and his choice, you can only lead the horse to water, but if it doesn't drink you shoot it (make that 'leave it behind').