If you are using a partitioned round, or a hollow point round, and make a good shot chances are the deer will be dead before you get out of your stand.
The quality of hunting ammunition has improved so much in my short time shooting it's unbelievable (20 years now). When I was kid there weren't too many calibers that had hollow point rounds available. Partitioned rounds were pretty much non-existent for hunting.
I think you are worrying about nothing. Chances are, you'll get hit by buck fever and miss anyways.
I don't mean that to be mean, it's just something that happens to a lot newer hunters. Myself included back in the day.