Watching the show, I tries to guess which character was being played by Rick Curry. It seemed most likely that it was, in fact, Mr. Monk's new shrink!
So I did a little search and came across websites that mentioned Rick Curry, who is a Jesuit Brother. Here's a couple of them: this one from ABC News and one from the National Jesuit Brothers Committee. And yes, he played Mr. Monk's new, albeit temporarily so, shrink!
See if from the links you can guess why he made Monk so uncomfortable!