It’s a long road, so you have to really want it and you have to get on the road early on; the people who go to med school are not the people who change their major 5 times…
I know a few frum woman doctors and I wish there were more b/c it’s much more comfortable for woman to see a woman, and it’s helpful in general to have a frum doctor who is aware of potential halachik concerns. There are fields of medicine that are less demanding (hours-wise) than others, such as dermatology and radiology, so a lot of women flock to those fields.
As for shidduchim, can’t help you there; I am sure some guys would be uncomfortable with it, but do you want those guys anyway? I am in law school- another place where you don’t see too many frum girls- but I got married right after coming home from seminary, before I had even started college, so shidduchim were of no concern by the time law school became relevant. So maybe do it my way? 🙂