I go back and forth with this. I have had T's who expressed feeling protective and wishing they could have kept me safe from some of the stuff in the past. It made me feel safe and cared-for at the time, but they were always ones I had worked with for a while at the point that they mentioned it. If they would have said it any sooner, I may have been a bit freaked out.
My T 2 t's ago was protective but it was more of a "pretective about you now" thing rather than the past... I dunno, also a very cared-about & safe feeling from her though. I know she argued with her supervisor about keeping me on as a client longer than the program generally permitted, and keeping me on despite some of my slip-ups. She was also the first and only person to tell me she would help me stay safe, even from myself, but I had to communicate with her...
I think it's ok with me as long as it doesn't interfere with my life. T can feel protective (and even be protective to a degree) as long as I still maintain my freedom of choice.