You don't have to engage every student. Work with the ones you can, let the other ones get engaged someplace which won't steal learning time from the kids who do care.
I didn't click with every teacher, and I certainly don't hold them at fault for that. We got a variety of classes, we were exposed to a variety of instructional mannerisms. Some worked better for some kids than others.

Wishing you strength, and appreciating your fortitude.