Many of the behaviors of your T as posted by you previously are the kinds of things that foster dependency. If your T let you take care of her pets, that's crossing boundaries and would cause you to become more dependent on her. So would going places together outside of therapy. So would all of the texts you exchange with her. If your T did those things then she wasn't helping you to become independent. Her boundaries were/are too loose.

It doesn't always work the other way, though. My former T was very strict and didn't hug me or touch me, and our sessions never, ever went over except maybe by 1 minute a few times. I became very dependent on her anyway.

Cutting down on contact between sessions would be a way to lessen dependency, I suppose. It doesn't work for me, though. I don't know. Sometimes nothing works but time, or quitting therapy, and that doessn't always work. Being busy in RL helps a lot. I know it's a pessimistic view, but I think if dependency happens, it's hard to break away from it. But you can do it with persistence and determination, as others will tell you.