I'm had the experience of feeling stuck to the couch, where it was painful to get up and leave. I've told Ts "I can't leave" or "I don't want to leave" many times.
Only once, with my former T, did I physically NOT leave. In my opinion, she handled it very poorly and I was devastated. I saw her in her home, so after my sessions she would go upstairs and I would leave out her front door. This particular time I felt SO bad, but of course I couldn't cry in the session. So I sat in her other room, kind of a waiting room but it's a very comfortable room since it's her home, and started to cry. I wanted her to see me crying, so I sat there. I just couldn't leave. I guess 15 minutes or so went by, she came back, and was getting ready for her next client, saw me there, and said I had to leave. I walked to the door (I wasn't crying any more) but I stood there, watching her in her kitchen. I felt powerless to walk out. She put ice in a glass and said "This isn't healthy. You have to leave". So I did, and cried hysterically in my car.
That night when I called her, she said that she can't do therapy with me if I don't hold by the rules, for my sake and hers. I think this was fairly early in the therapy, maybe a couple of months, though I don't remember.
My current T would never treat me that way! She would have asked me what was wrong, walked me out, hugged me, or said something reassuring. She would be sure I was all right. What former T did was traumatic for me.
Sorry to hijack your thread with my story but I DO understand about refusing to leave and the ramifications, unfortunately. My former T did have another client, but she could have talked to me for a minute and ask what's wrong first, before she kicked me out.