I'm not a hunter so don't know about handling but I do know that deer taken in my county have to have their brains taken to Dept of Wildlife for examination.

We have a significant CWD problem in this county. So I would expect that you should wait to hear about the deer's brain test before consuming the meat.

I learned this in my Hunter Safety course.

(I took the course and left thoroughly frightened by the number of and nuances to the regulations that could bring prosecution. For me it's not worth the risk.)