You're an alcoholic and your feelings are totally normal. It is what it is. Cravings are OK. Normal, even. You're an alcoholic and you're craving alcohol. Nothing strange or scary about that.
^^That's the kind of self-talk I did when I was in your position. Then I'd do something to tackle the anxiety (starbucks extra hot mocha? A walk? Gym?) and moved on with my life, little by little.
Your cravings have no power over you! You're not failing. You're going through early sobriety. It's hard and messy but it'll pass. Just don't drink, no matter what.