Fear of Hurting Others is Holding Me Back

So one hesitation about attending medical school and becoming a physician is the thought that I would be responsible for someone else’s life. On the one hand, what a great thing that I would be able to make the difference in someone else’s life, hopefully for the better. But, on the other hand, what if I cause someone injury or death (of course accidentally)? Is this a fear that premeds and physicians have? Is this a fear that people overcome? How do people handle this? Does this mean that maybe I am not cut out to be a physician? I have the grades, the scores, the desire to make a difference in people’s lives, and experience. I am ready to apply, except for this one fear.

Thank you so much for any thoughts on this topic.