Preheat your oven to 400°F (200°C).
In a large skillet, sauté the onion and garlic until translucent.
Add the diced venison and cook until browned.
Sprinkle the flour over the meat and stir to combine.
Pour in the beer and add Worcestershire sauce, thyme, salt, and pepper.
Stir in the carrots and potatoes. Let the mixture simmer for 20 minutes.
Transfer the mixture to a pie dish and let it cool slightly.
Cover with pie crust, sealing the edges and cutting slits for steam.
Brush the top with beaten egg for a golden finish.
Bake for 30-35 minutes until the crust is golden brown.