Seems very odd to see a deer behave like that. That deer was either severly injured or is infected with some sort of upper respitory disease or possibly CWD. I would have cut off the head and taking in it for testing. Im almost 100% sure this was not labor. And then to have all the flies aroudn the anal ara of the deer and entry and exit wounds something is telling me this deer was plain out sick. But with what? I think you made the right choice by not opening her up, cleaning her out and feeding her to your family. I wouldnt have either. But I would have sent the head in for testing. Lets hope that whatever she has doesnt pass on to the next generation or other animals that come in contact with her corpse. Unless of course its a pack of yotes lol.