I don't see this much different from the other client's perspective than a T going over session time with one client and then starting the next late. And at least what the T did was useful to OP. I would see repetitive above and beyond behavior worrisome but one time, in a crisis situation? Personally, if I were the next client and knew why the T was late, I would completely understand and would not be upset at all. If the T was late regularly, then I would be frustrated for not respecting my time.