No, I doubt any personal stuff will make me think less of a T unless I could see how it was directly affecting their competence as a T.

I don't know if this is a strictly personal thing but this threw me for a loop -- that my T could refer to herself in the third person. E.g.:

Me: I'm worried I'll blah blah blah.....

T: If that happens, Bathsheba* will notice and help you...blah blah.

Note (*): Bathsheba is not T's real name -- any resemblance to therapists named Bathsheba is purely coincidental.

ETA: Only happened once. On a slightly serious note, I think she mistakenly assumed I'd dissociated or regressed or something (what can I say? I look like I have I guess even when I haven't).