First of all, you never want anyone to mistake you for a deer. Although it may seem funny at the time, you certainly don't want to run through the countryside dressed like this!
If you must insist on running outdoors during the prime deer hunting season, I recommend incorporating bright colors such as blaze orange into your running wardrobe. A good headlamp is a great investment too. I wear the Tikka X2 headlamp that has modes including a flashing white or red light. This may help keep the rednecks from using you for target practice. Here is an example of what a person might wear.
Thanks for stopping by, have fun and be safe out there!