Some years back, my T offered/suggested that I might consider seeing someone different. I was in a bad spot and was pretty stuck. He wasn't trying to get rid of me. He wasn't giving up on me. He wasn't tired of me. He just wanted me to feel free to consider options.

I suspect your T is just reminding you that there is that option, and apparently she thinks it might be a way to get through this stage differently for you. It isn't about her giving up. It is just about her caring and providing options that might be helpful.