I've killed about 300 deer...None made it 30 minutes, at least 95% died within a minute of being hit, and most of them within 10-20 seconds...Which is a heck of a lot faster than most of us will die...
Frankly, I hate to see any animal suffer, I usually drop them with my .243 and in all the years using this rifle I have only lost 2 deer...I do remember losing 2 bow shot deer and one with my flintlock, that's it...
If you hit a deer in the lungs with a good projectile or arrow then the animal dies quickly, certainly within 10-60 seconds...Next time you shoot a deer in the lungs, look at your watch and time when you hear it crash...A minute after the hit is a long time...
It's always interesting that folks that don't hunt think we are cruel...You want to see cruel, visit the cancer wing of any hospital...The way most deer die is the most humane way to go, walking along without a care and bang, lights out...We should all be so lucky...