Same thing, last year about this time, I got a road-killed doe who was just about to drop her fawn. The daytime weather was hot (over 20 for sure). The deer had run into a car at night, broke her neck and died more or less instantly. I got to the dead deer perhaps thirty minutes after that happened. I gutted the doe in the ditch where she had died, brought her straight home and hung/skinned it, and cut the meat first thing the next morning. It would have been preferable to hang it in a cooler, but anyways the meat was just fine, albeit bloody.
Doug