Well hope you check my answer today. I am in CA and hunt the hot weather every year sometimes archery season 100+ temps. The main thing is to have it dressed and skinned within 4-5 hours after shooting it (if longer no huge deal, but nothing can go overnight) once you have it skinned and bagged it can hang for that day and the next with no problems (make sure deer bag is not the kind you get a walmart with holes in it, but a full bag to cover the whole deer and tap off to make sure flies and bees don't get to the meat). once home you can quarter it and put in a fridge or freezer. There will be no problems.
(answers based on colombian black tail, not 100% sure if whitetail will be the same, but logically thinking it should)