How you deal with a hangover, doesn't determine whether or not you are an alcoholic.
What happens to you when you drink? Do you change, do you lie, do you hide things, do you behave in ways you wouldn't normally behave? Do you forget what happened? That's how you decide if you're an alcoholic.
I am glad that you found us and are searching for information. We have a lot of support to offer if you decide to stop drinking.