Hello from JustAnswer. This is Dr. Love.
I am sorry that no expert has yet responded. The question has been moved from Mental Health to Medical so that an expert can respond.
In this setting, it cannot be said whether the Paxil will work again. There is a chance that Paxil may work again, but it cannot be said that it definitely will work again.
It is true that alcohol can contribute to anxiety and depression, so can be contributing to the poor response to Paxil. And now that you are no longer drinking alcohol, the Paxil has a better chance of working.
But it cannot definitely be said that the Paxil will work again, as there are other possibilities. Any antidepressant may lose its effectiveness over time, and that is true when used for treatment of any condition.
So, it is reasonable to give the Paxil some time to see if it will work again, but if there is no improvement over the next 2-3 weeks, then it also would be reasonable to discuss with your doctor about changing to a different antidepressant.
If I can provide any clarification, please let me know.