In a large skillet, melt butter over medium-high heat.
Add onion and garlic; cook until softened, about 3 minutes.
Stir in flour until lightly browned, about 1 minute.
Whisk in beef broth, milk, Worcestershire sauce, thyme, parsley, pepper, and salt. Bring to a boil; reduce heat and simmer until thickened, about 3 minutes.
Stir in venison, mixed vegetables, corn, peas, carrots, and green beans. Simmer until heated through, about 5 minutes.
Transfer mixture to a 9-inch pie plate.
In a medium bowl, whisk together melted butter, flour, baking powder, and salt. Using a pastry blender or two forks, cut in cold butter until the mixture resembles coarse meal.
Stir in cold water until the dough comes together. Pat the dough into a 1/4-inch thick round. Place over the filling and crimp the edges.
Bake until the crust is golden brown and the filling is bubbling, about 30 minutes.
Let cool for 10 minutes before serving.
Interesting Facts
Venison is the term used for the meat of deer.
Pot pies are a popular comfort food in the United States.
The traditional crust for a pot pie is made with butter.