Generally eating wild game is safe during pregnancy. There are some precautions (which should be followed even NOT pregnant!) -- primarily make certain that the meat is cooked thoroughly (not eaten rare) and avoid organ meat.
Typically, wild game is considered leaner than beef and some consider it healthier for you.
DS 1 b. 1/19/09, DS 2 b. 1/12/11, DS 3 b. 3/3/13