I have a vague recolection of a situation where they mentioned it. Rory and Paris were arguing and Paris said something (I can't remember the episode or the line) and Rory said, "You're pre-med!" Does anyone else remember that? Maybe I just made that up in my head right now. 
It's the episode where Doyle is sick, and Paris brings in Nanny to take care of him. (Actually, I always wondered about that, because in an earlier episode, Paris says "she lost Nanny", and Rory thinks she died, but she really went to a new family in Michigan or something). Anyway, everyone keeps saying to Paris "you're pre-med"
I loved that episode with Paris and Doyle. It was sweet that when he was sick, she couldn't take care of him but she got Nanny.
That was typical Paris, she cracks me up

I wonder how she got Nanny back if she went to be with another family...another Gilmore Girl anomaly...stories started, but not followed through...I wonder if the Gilmore Girls is a paradox like the "Bermuda Triangle" - LOL.
(Sorry, it was a thought - out - loud)
Sue