Hey don't let your degree path discourage you! I was dumb enough to go for pol sci with a focus in international affair, might as well be a signed napkin when I'm applying for any type of real career. I know this sounds super cliche but you are you and still have the best years of your life ahead of you. Every good person hits "rough" patches, it just happens, cost of doing business for life I suppose.
I know how you feel about seeking treatment for a problem that you feel embarrassed to deal with, anxiety and depression just have this way of shaving you down mentally to the point where its just hard to find a reason to get out of bed in the morning. Good that you didn't let it get to that point and sought professional help.
Good luck moving forward with your life.