My fault I know but the surgeon general of the united states is

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13. i don't think medical specialty particularly hints at who would be a better administrator

surgeon general is a very, very different job from anesthesiologist or surgeon or cardiologist or radiologist or whatever.

at the moment, a surgeon general with a background in infectious diseases might be helpful, but only because that happens to be the key public health issue at the moment.

if anything, i would think a primary care physician, typically regarded as rather low on the medical admiration scale, would be the best background for surgeon general as that job requires a broad understanding of public health issues, which better translates to what a surgeon general needs to do. but again, administration is a very different job from actually treating patients.