Favors are completely optional, so if you can't come up with something that works, don't worry.
I like @emmyg65's idea and agree that edible favors are best. What about white chocolates with a red cross and your initials on them? I always appreciate those little mint containers - you could do some kind of medical symbol and your initials if you really wanted to.
Re: Nursing favors
Jelly beans or some other candy packaged like a pill bottle.
Not a favor but something cool I have seen: using a syrup syringe with dessert.