While I don't personally think I'm an alcoholic, I definitely have an alcohol-related problem. I've posted this elsewhere, but I don't have physical withdrawals, and I've never lost a job or had any serious problems related to alcohol. I'm also an anxious person. That's good that you are able to control it, but I have (as recently as six months ago) been able to control it but lately it seems I've lost that ability!
However you want to look at it, drinking multiple drinks every day can progress into a pretty big problem.