Are the emotional and physical changes too much to consider taking a job promotion?

I was approached a couple of weeks ago and asked if postponing my surgery was an option due to a possible career advancement opportunity. I said that I was unable to postpone surgery (and that was respected). Today, that advancement was announced as an "in house" job posting. As I have been approached by all the "higher ups" again today to consider the position (apply for it). I am concerned that I would be taking on too much too soon after such a major surgery. The position is supervisory and I know I have the ability to succeed under normal circumstances I am just concerned about the timing. The interview would be about a week post-op and the position would start as soon as I returned from leave. Can anyone give me their opinions on how the emotions and physical changes during the first year post op (there is a 1 year probation period on the promotion) would play into the job stress that a promotion can impose.

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