I know this is an old post, but thought it might be worth replying because of the general themes of anxiety following drinking :-) feelings that are not uncommon! I can see that you got some excellent replies from Crystal and Pat who talked about mood tracking using a diary and talking to your GP if you have ongoing issues.
I think the main things to consider are:
1) Alcohol is a depressant. People with anxiety often use alcohol because it helps them feel less anxious - and it usually does at the time - but may lead to increased anxiety the following day or couple of days.
2) Any interaction between alcohol and the medication you're on. The research is not that conclusive, but there's the possibility that if you're taking an anti-depressant medication and you use a depressant (alcohol) it may inhibit the effect of the medication, leading to increased anxiety afterwards.
It can be helpful to know that you may feel extra fragile after drinking, so you expect it and can plan accordingly. For example, doing low key enjoyable activities, postponing stressful conversations, whatever the things are, that make you feel better when you feel a bit out of sorts. And on a more practical note, eat well, get some rest and hydrate! This should all help you bounce back.
If you find that the issues are ongoing, using a mood tracker or substance use diary can be helpful too. Try tracking day and time you drank, what you drank and how much, the situation you were in, your mood at the time, your mood afterwards. Just observing your patterns will give you more information about what is going on and then you can choose whether you want to do something about it.
If you are REALLY concerned about your drinking, you could have a look at https://www.counsellingonline.org.au/ It's a national counselling, self help and harm reduction service and contains a lot of great information, as well as the option to do on-line/webchat or email counselling. It also has the contact details for alcohol and drug telephone counselling services in each state and territory.
I hope this has been helpful - take care!