Heat the olive oil in a medium pot over medium-high heat until shimmering.
Add the ground venison to the pot and cook until browned, using a wooden spoon to break the meat into small crumbles.
Stir in the diced red onion and bell pepper, sautéing for 4-5 minutes until the vegetables are softened.
Add the minced garlic, chili powder, smoked paprika, and cumin, stirring constantly for 60 seconds to release the aromatic oils.
Pour in the crushed tomatoes, beef broth, and kidney beans, stirring well to combine all ingredients.
Bring the chili to a boil, then immediately reduce the heat to low and cover the pot with a lid.
Simmer the mixture for 15 to 20 minutes, allowing the liquid to thicken and the flavors to concentrate.
Remove from heat, season with sea salt and black pepper, and serve warm in a bowl.