Actually if we talk about using robots in medicine I think of surgery and there are few things to remember:

• robots are much more precise, humans need to apply special systems to reduce hand vibrations
• I heard that if you need to choose a surgeon you want that one who performed many similar operations last week (or month, I don't remember exactly). Robots never loose their skill, they do not forget procedure and can learn via network from each other in seconds - improving their performance.
• human doctors can make mistakes, be tired, be upset. Even professionals. N/A to robots.

To sum up I would rather rely on robot surgeon than human (assuming the necessary tests were performed and it was properly commissioned)

There were already great and interesting cases of

• robots replacing ophthalmologists in some eye tests
• IBM Watson detecting health problem overlooked by humans in x-rays