Using methods you can read about for yourself, in 2013 University of Oxford scholars predicted that health care is among the sectors least likely to be automated “by means of computer-controlled equipment.” Here’s their chart, with “Healthcare Practitioners and Technical” in dark green:
Do not interpret this to mean that some functions of medicine won’t be automated (some already are). What it means is that health care sector jobs are not at high risk due to computerization. The nature of those jobs may change, due to automation, but their numbers are very unlikely to do so.