There are lots of non-med ways to deal with anxiety.

I got some biofeedback training which was very helpful -- 6 sessions, taught me to raise the temperature at my fingertips, which does reduce anxiety. Very easy to learn, and fun also. (I learned it at my university, are you near a university at all?)

Walking/biking/aerobic exercise can help a lot.

Meditation also. (Although for a long time I was too anxious to meditate, and I just rode my bike a lot.) (Now I am able to meditate -- I just do breath counting -- nothing fancy.)

Oh, if you don't like meds, how do you feel about herbal teas? Camomile is a bit little effective. Valerian is very effective (it tastes yucky, I always mix it with another tea, like mint.)

I also find warm milk with honey relaxing, although not everyone likes that.

Anyway, those are all non-therapy, non-med things that might help with anxiety.

And therapy is good too, of course, but yes, find someone who has training and experience in dealing with your issues.