I'd think most occupations in the medical services industry
inherently involve direct contact with the public. If you already acknowledge such social anxiety, you will simply have to deal with it the best you can under what are likely to be daily exposure. If you enjoy your work, you might find that
a factor which mitigates such anxiety to some degree. If not, you'll have to ask yourself if you are training to work in a bomb disposal unit, where each day there's a potential of something setting YOU off.
I worked for many years in the insurance industry. Ran into maybe three people that I can think of who were likely on the spectrum at the time between the 80s and 90s. On a technical level I excelled at the job. However the social requirements of the job left me exhausted much of the time, and as the job evolved, so did those social (marketing) responsibilities. Eventually after nearly two decades I quit. Couldn't deal with the social stresses, not to mention the corporation was setting itself up to be sold. Huge changes coming and I didn't want to be around for them. (Wise decision on my part!)
After that I took time off to get vocational training and got certified as a web designer. Total change of career. Wasn't easy to find work though (no surprise- I'm terrible at job interviews). I ended up finding work at a major software entertainment firm in Silicon Valley, where I kid you not. Probably between a third and half of everyone I encountered (below management level) were on the spectrum! Completely different working environment. I loved it. Sadly the job ended as the software part of the comapny was sold off. Now I work for myself. Almost no socialization concerns or stresses at all.
Basically I think the odds of running into other Aspies are likely
dependent upon the industry you choose to work in. In your case, I'd think the odds are poor. Unless of course you run into other people who like myself at the time, had no idea they were on the spectrum of autism. However you have something I never had in such a situation.
The foresight in being self-aware of being on the spectrum of autism. That's a pretty powerful thing to have in controlling your own destiny. Use it to optimize whatever decision you make.
One thing for sure though, here you're likely to find many Aspies who DO work with the public, for better or worse. Use them as a valuable resource and get their take on things. Maybe others can chime in right here! Hint-hint...