Heat the olive oil in a large pot over medium heat. Add the diced onion and minced garlic, cooking until soft and fragrant.
Add the ground venison to the pot. Brown the meat, breaking it apart with a wooden spoon until no pink remains.
Stir in the chili powder, cumin, and paprika. Cook for 1-2 minutes to toast the spices and enhance their flavor.
Add the chopped tomatoes, kidney beans, and beef stock to the pot. Stir well to combine.
Season with salt and black pepper. Bring the chili to a boil, then reduce the heat to low and simmer uncovered for 45 minutes, stirring occasionally.
Taste and adjust the seasoning if needed. Add more chili powder for heat or a touch of sugar to balance acidity if desired.
Serve hot, garnished with fresh coriander and optionally with sour cream or grated cheese on the side.
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