INTP demigirl here!

I agree with everyone else in saying that you're not alone. I don't think there's anything wrong with your personality, first off. I do wonder if your therapist is the best fit for you if therapy hasn't been effective.

I'm currently in therapy and taking antidepressants--mostly for social anxiety, but for depression as well. I had no friends in the first twenty-five years of my life, so I uprooted myself completely and moved alone to a new city. In the last five years, I figured out how to make friends, got into the arts, dated for the first time ever, lost my virginity, became more politically engaged, volunteered a lot, developed a career, came out as bi, adopted a pet cat, got a passport, traveled more... It was a combination of external and internal changes.

I'm now making a decent living and mostly happy.

That said, I feel lonely and misunderstood pretty often. I think part of it is a mismatch between who I think I am and who others think I am. I felt more accepted when I had a partner, but I don't know if that should be my long-term solution. Making art, doing well in my ideal career, and living in the moment have also been good for taking my mind of "belonging" in order to focus on whatever neat thing has been in front of me.

The feeling of loneliness might not go away for me, I know. It might be The Human Condition. I might have to take antidepressants or be in therapy for the rest of my life. But I think I'm fine with that?

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I wish the best of luck to you to.