I would think it would bother you because you feel like a peeping Tom, you know something about her that she does not know that you know, so it's about having a secret, and about the shame of wanting more of her than she gave you herself I would imagine.

What do you think?

P.S. I have not personally seen a thread where a client was ever terminated just for searching for their therapist's name online: rather, there were many extenuating circumstances. I may have missed such a thread, but I wouldn't have much faith in the qualifications of a therapist to do the intimate work of therapy if they couldn't handle knowing that someone googled them.