I come from four generations of butchers. In my opinion 90% of so called "game" taste is from contamination of the meat with bacteria, urine, scent gland excretions, feces, and all the other crap that hunters don't bother to keep off their hands when they're field dressing, skinning, cutting and handling meat. Over more than 50 deer I have personally shot, about evenly split between whitetail and mule deer, mature bucks and antlerless, I have not found much difference in "gamy" flavour. A few were tough, some bucks meat smelled a bit from hormones DURING COOKING but the meat had no "gamey" smell after cooking. Tenderness does vary. BUT if you just touch a rutting buck's tarsal glands, and then the meat, without thoroughly washing your hands, that meat will definitely taste "gamy". Same with gut shot critters & paunch contents. Bring wash water and soap with you in your truck, carry some surgical gloves, and use them. Sheets work better than cheese cloth to keep skinned carcasses clean. Scrupulously trim away the contaminated outside rind of the meat and all fat when cutting meat for the freezer. Don't use a bandsaw, use a knife. Double wrap meat very well, in plastic film and paper, or better yet vacuum pack to prevent freezer burn.
All this won't help you salvage ruined meat, but you may fare better with the next stuff.
Mule deer are good eating!