Anxiety is always terrible to deal with but please know that the physiological effects of alcohol make the problem much more difficult to deal with. It was only after having a prolonged period of sobriety that I was able to begin dealing with anxiety and depression instead of self-medicating in a way that exacerbated the problem.
If you are regularly having feelings of anxiety for no apparent reason you should definitely consider seeing a doctor. An earlier comment suggested that everyone feels anxiety, which is very true, but there is an important distinction to be made between a normal anxious response to a truly stressful situation (which is simply your body releasing cortisol as a proper defense mechanism), on the one hand, and a generalized anxiety disorder where you are feeling anxious over a situation that should not normally cause such a response, on the other (which is what it sounds like you are dealing with).
Therapy has been a huge help for me in dealing with an anxiety disorder. There are a variety of self-help techniques you can use, too, such as yoga or meditation, although these do not work for everyone in the same way.
Anyway, I think the greatest gift of sobriety is that it makes true self-care possible. Best of luck and take good care of yourself.