Years ago a doe attacked my dogs in my yard. I called the Wardens afterwards and found out I would of been in big trouble if I shot her. Here in Maine wild animals belong to the state (at least according to the state)- dogs belong to individuals and different rules apply.
Half the reason I get a hunting license is so that I can legally deal with skunks, coyotes, etc... if I have to. Open season all year on both.