Heat the olive oil in a large pot over medium heat. Add the diced onion and minced garlic, and cook until softened and fragrant, about 5 minutes.
Add the ground venison to the pot, breaking it up with a wooden spoon. Brown the venison until no longer pink.
Stir in the chili powder, cumin, and Hungarian Sweet Paprika. Cook for 1-2 minutes, stirring constantly, until fragrant.
Add the chopped tomatoes, kidney beans, and beef stock to the pot. Stir well to combine.
Season with salt and black pepper to taste. Bring to a boil, then reduce heat to low, cover, and simmer for 45 minutes, stirring occasionally, or until the venison is tender.
Taste and adjust seasonings as needed. For a spicier chili, add more chili powder. A pinch of sugar can balance the acidity if desired.
Serve hot, garnished with fresh coriander. Sour cream or grated cheese are optional additions.
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