Is this the first time anything like this has ever happened to you?
Your first mistake was reporting this. If you are in the wilderness with no one around, REPORT NOTHING. Drag the deer to the bushes and move to another area. It was only a doe and mule deer are so god dammed stupid you did the world a favor by shooting it.
From what it looks, this is a misdomenor. Nothing to get too upset about. Your lucky they didn't take your rifle. You would never see it again, no matter how the case worked its way out.