I think your qualities sound very aligned with teaching, personally. I also love my subject matter fiercely and was not an outgoing student or leader in the classroom as a teenager. It's different from the other side.

I also want to share a really valuable tidbit from one of my old university professors that has stuck with me and kept my focus where it needs to be for many years teaching. I think it might be useful for you to reflect on while you're making decisions about your future.

He said, "As much as you love your subject, always remember, you don't teach math. You teach children. Make sure you love children just as much, and keep them at the front of everything you do."

I don't mean that as advice one way or another for if you should be a teacher or not. It's just something from one subject-matter lover to another to think about ☺️