No doubt about it. The ability to properly field dress any wild game will effect the taste. Another area to concider is the is the adreneline factor.
In my own experience I have found that animals taken with a clean one shot kill tasted better than the ones that suffered a bit before expiring. I have seen hunting shows on TV where they hit the animal, but wait untill the next day to recover it because they made a bad shot. They never say how the meat tasted, but in my own experience it usually isn't that great.
With that said, next is the time factor from when the animal is harvested until the time it is chilled, this plays a big part. The sooner you can chill the meat, the better. Venison properly cared for tastes similar to beef, has more protein and less fat so it's a healthier choice.
Assuming that it was a clean kill, properly cared for in the field, and ecorted to the fridge as soon as possible, a game taste shouldn't be a problem. A lot of folks say they don't like wild game simply because they know that it is wild game. The same person might eat and enjoy it if they didn't know. Not saying to trick anyone.
You can find a rub or marinade that you like and smother the meat in it, but if you have to cover it up with something maybe it wasn't so good to start with. The diet of the animal can effect the taste also. I'm not a professioanal meat processor, but I hunt all the time and eat what I harvest.
Just my 2 cents worth.