Hopefully she comes back for him soon. That spot isn't going to be shaded in an hour or two, and it's inside my yard, so the dogs are going to definitely investigate and bother him when I take them back out.
Update: Momma deer still MIA, but little guy is just about out of shade. Took the dogs out one at a time on leashes, and they seem to only be mildly interested in him. I was afraid they'd get all worked up like they do with squirrels and rabbits. I may need to still move him so he's not in the 91 degree sun, but won't have to move him as far.
Update #2 It moved itself further into the remaining shade, so prob good for another hour or so.
Update #3: It moved itself to the last bit of shade in the corner of the fence, so I hung an old jacket across the top and made a sun shade for him. Trying to avoid moving him if at all possible.
Final Update: Momma seems to have come back to pick up little dude. Went back to check, and he was gone. They normally don't wander off, so I'm assuming mom came back for him.
Bonus Aww:
I'm not sure that fawn feel much fear since they're supposed to lie in one spot and wait for their mother, a quick search turned up "Very young fawns do not appear to have any natural fear of predators, and may even walk up to humans" although I haven't been able to conclusively verify the claim.
Well that's a rare mercy from mother nature then.