Can I continue “cold turkey”?

I’ve had some not-so-healthy drinking habits for a little bit, but nothing crazy.

However, for the past ~2 1/2 – 3 weeks, I’ve drank every night, around 3-6 or 7 drinks (usually tequila shots).

I haven’t had a drink in 24 hours, and so far, I woke up with a mild headache and anxiety (although I do have GAD so this isn’t uncommon). I’m not really having the shakes.

I went to urgent care yesterday to get help with my anxiety and alcohol issues. I kind of just needed help then and there, didn’t want to put it off any longer. They didn’t tell me anything specific about detox, but gave me referrals to psych for my GAD and another doctor for substance counseling.

I’ve heard so many horror stories about how dangerous withdrawal/quitting cold turkey can be. Should I be worried? Should I start tapering off, or just continue with no drinking at this point?