Part of the..."I'm sorry if"... deals with insulating themselves from indirect failure. In other words, nevermind themselves that the patient had these problems long before I ever met you. Direct failure on their part would still force an apology out of them such as sexual misconduct or failing to recognize a threat to self etc...
"I'll keep trying," sends the message of I'll keep collecting your money even though I am not helping you. That would bother me too. That is a failure on the part of the T. It says I'm taking advantage of you for money.
The good news is that you're listening to the intuitive side of yourself and recognizing red flags about relationships. That's healthy.