There are PhDs in psychology, but that is more of a research degree. PsyD is a clinical degree for therapists who are more focused on practicing with clients than on writing and research.

I think psychiatrists are MDs.

FWIW, anytime I refer to my "boob" I intend it humorously, because it's such a stupid sounding word. I wonder if it is at all possible that this woman was trying (maybe failing) to make light of the situation by phrasing it that way.