Peel and cube the sweet potato, then boil in water until tender, approximately 12-15 minutes.
Drain the sweet potatoes and mash until smooth and velvety, adding a splash of broth if needed for texture.
Heat the olive oil in a large skillet over medium heat and sauté the diced onion, carrots, and minced garlic until softened.
Add the ground venison to the skillet, breaking it up with a spoon, and cook until browned through.
Stir in the tomato paste, dried thyme, sea salt, and black pepper, cooking for 1 minute to develop the flavors.
Pour in the beef bone broth and simmer for 5 minutes until the liquid has slightly reduced into a thick gravy.
Fold in the frozen peas and remove the skillet from the heat.
Transfer the venison mixture into a small oven-safe baking dish and spread the mashed sweet potatoes evenly over the top.
Place under a broiler for 3-5 minutes or bake at 400°F for 15 minutes until the topping is lightly golden and the edges are bubbling.