Dude, this sounds SOOO much like "let's just be friends...
I like you but just not in that way"!
Anyway, it's an occupational hazard--even if you're not "hot". I'm probably more "paternal" in nature, but have had a few female patients act like they were interested in more than Prozac. (It's called transference, if you're a REALLY OLD PsychDoc.) Keep in mind that you're dealing with vulnerable people who probably don't have the greatest experiences in life, and to them finding an empathetic listener who projects a caring attitude about them feels (to them) like romantic love. Keep your boundaries clear, firm, and professional. This is why most psychiatrists are even less likely to allow a hug than your average primary care doc.