Dr. Bob-
Heaven knows, I am not a relationship expert but I would say this: don't panic! Keep your cool and don't put the cart before the horse. It certainly sounds as though this young lady is interested in you, but from what you say, she doesn't know anything about Dr. Bob - yet.
Let's try a few more casual meetings, dates, whatever you want to call them. Keep your ears and eyes tuned for any subtle signs or comments that the two of you might share a common interest but don't rush it. The two of you need to get to know one another a lot better before Dr. Bob puts in an appearance.
Once things start to get a little physical; like holding hands let's say, you could start by taking her pulse in a subtle casual fashion. If she asks what you're doing, just say "I love to feel your pulse (or heartbeat) sweetie." I would think any woman would be happy to hear that, medfet fan or not.
Just keep the lines of communication open, and don't be too eager. This is an exciting time for both of you, but don't scare her off by pushing the issue. She'll let you know when she's ready.
Just my 2 cent's worth. Good luck, and keep us posted!
Best regards,
gaze