Lost - sorry about that first AA experience, but please give it another try.
I've never thought to ask my sponsor "are you an alcoholic", so that is a new one.
Anyhow, you are just like the rest of us. Many of us drank in private. We thought that no one knew about our problem. But, as I get longer in my sobriety, I learn that more people knew than I thought.
And, my kids knew. Although they couldn't verbalize it, they knew.
Today, they like me a lot better.
Just don't drink today. Don't worry about tomorrow or next week or next month.
Glad you are here.