Heat peanut and sesame oil in a large skillet or wok over medium heat. Add green onions, carrots, garlic and ginger, and stir-fry for 2 minutes. Add venison, and cook for 2 minutes more. Add soy sauce and hoisin sauce. Cook for 1 minute.
Add rice and egg, and stir-fry until hot throughout and egg is completely cooked. Season to taste with salt and pepper.