As an earlier poster said, it is nothing to do with "trust". Software has bugs, surgeons make mistakes. What matters is the relative degree of statistical risk.
If the risk of falling victim to a bug/mistake by a software surgeon is lower than that of a human surgeon, then simple desire for self-preservation you should choose the software. To choose the human over the software, even when it's provably more dangerous is allowing a baseless prejudice to put you at higher risk. It's equivalent to being given the choice between two human surgeons of differing skill levels, and choosing the lesser skilled surgeon on the basis of their ethnicity.
If the risk of falling victim to a bug/mistake by a software surgeon is lower than that of a human surgeon, then simple desire for self-preservation you should choose the software. To choose the human over the software, even when it's provably more dangerous is allowing a baseless prejudice to put you at higher risk. It's equivalent to being given the choice between two human surgeons of differing skill levels, and choosing the lesser skilled surgeon on the basis of their ethnicity.