I had crippling anxiety when I was going through withdrawal. Having drinks one through ten to take the edge off only ensured that the anxiety would only come roaring back with s vengeance once the booze wore off. A week or two after I quit completely the anxiety suddenly vanished. But only after I had continual consecutive days of sobriety. Sneaking in a drink here and there, as I'd done in the past, only prolonged the agony.
Stick with it and see your doctor if you're still not comfortable. When I finally quit I got a benzo prescription, limited in number, to help. But I was completely honest with my doctor about my alcohol intake and my desire to quit.