Only 24 hours

...before they got the dead deer.   As if an occult hand reached down from heaven and snatched the poor dear away.  Meh.  Not too shabby a response time.  They coulda said "We don't do that sort of thing" then I'd have to think all libertarian and junk. 

Since a cop shot and left it, I'd just return it to the local police station, I guess.   If he was going to trespass and do me a favor dispatching the nuisance fauna, I'd hope he'd have taken care of it himself.  What if it was a mad dog?  That's any old neighbor responsibility, too, but once you go all Atticus Finch on the rabid pooch what then?  Worst case, a bonfire would be required. 

If a cop had left it unshot and it succumbed to its wounds in the yard, lucky me.  Hmmm.   What to do? 

When I worked at the brewery we gave the spent grain to a local farmer that had a few dozen head of cattle.  Bit of a hobby farm.   This was 20 years ago.  I asked him one day what he does when a cow up and dies on him in the field.  He'd call 1 (800) DEADCOW.  1 (800) 332-3269.  They'd come and get the cow.  I think it was 'free'.  In that, they picked up the cow and kept the carcase for whatever you do with a dead cow.  Must be money in it.  Hooray private sector.

Failing that...  double bag it in contractor bags and leave it for the trash service.  Yuck all around.