Before you answer this question, think about the advantages and the disadvantages. Human makes mistakes, but robots are not as capable as human beings to deal with unexpected things. So will you be more worried if the doctor's hands are shaky and accidentally cut off the wrong part of your organ? Or will you be more afraid that the robot does not react as accordingly as human doctors when anything goes wrong?
I"ve never had any huge surgery, but my relatives had, so I know how important the doctor's skills are. If your surgeon does not have mature skills, you not only have longer healing process after the surgery, but also have higher risks during the surgery. Also, the surgeon's condition on that day makes a difference too. Furthermore, if you are one of the poor people in the developing countries where surgeons treat patients differently based on the money they receive, you probably won't be recovered from the surgery as fast as those who pay surgeons a lot of money.
Adding all the factors up, not many people can be sure that the performance of their surgeon is absolutely the best, and no one can guarantee that the patient receives the best care. Compared to human surgeons, robots seem more reliable in some perspectives. First of all, they do not get tired as human doctors. Also, because of the way they are programmed in performing such task, they can probably perform a better job in a shorter period of time than human doctors.
On the other hand, I will be worried if there's no human involves in the medical team that is going to remove a tumor in my body. I believe a lot of people are thinking about the same thing too: What if anything goes wrong? Will the robots be able to respond just as human doctors? Will they be able to stop the bleeding and save my life?
These questions brings up a perception that is commonly shared with people nowadays. No matter how fast the technology grows and how well those robots can perform human tasks, we still trust human beings more than robots. Why? Because they are not us.
People's perceptions about technologies is not static. It's always changing. Today not many people trust the medical team in which no human is involved, but hundreds of years later, perhaps our perceptions of the same thing will move toward the opposite end. I don't know how the future technology will be like and how people in the future will cope with all the ethical problems and the lack of trustworthiness that come with the technology. But one thing I'm sure now is that I still prefer a team that involves both robots and human to ensure the high quality of the surgery. Maybe hundreds of years later, when robots can totally replace human surgeon's job, I won't even notice that my doctor is actually just a robot. Who knows?