One thing to consider is that sometimes anti-depressants can actually increase anxiety. I have had that happen to me with a couple of them. If you feel this may be the case then it might be worth talking to your doctor and seeing what other options are available be that other medications and/or therapy of some sort. I have found that what works best for me is a combination of both therapy and medication intervention. My anxiety is related to PTSD. When we quit drinking we take away a defense mechanism that often has provided us with some sort of protection even if that has started to fail by the time we address our drinking it still can be overwhelming to deal with all of the emotional baggage that the defense mechanism held at bay once we stop drinking. For some this baggage is so deep that professional help is needed to clean it up. There is no shame in seeking outside help. That help does not even necessarily need to be long term it would just depend on your situation.