i let one go over night last year since we couldnt find any blood but i know i had hit it. The overnight temps were in the lows 50's i would like to say. We did end up finding him, and the meat was still ok. Now im not sure about leaving the deer overnight in 60 degree temp for so long. I would say if you leave it over night, and you skin it the next day and the meet doesnt smell or look bad i say it would be fine to process it that same day. But i wouldnt let it go another day IMO.