Heat a large pot over medium heat and add the ground venison.
Cook the venison until browned, breaking it apart with a spoon, about 5-7 minutes.
Add the diced onions and crushed garlic, cooking until softened, about 3-5 minutes.
Stir in the diced bell peppers and cook for another 3-4 minutes.
Mix in the diced tomatoes and tomato paste, combining well.
Add the kidney beans, chili powder, cumin, smoked paprika, salt, and pepper.
Pour in the broth, ensuring all ingredients are well combined.
Bring the chili to a simmer, then reduce the heat and cover.
Let the chili simmer for at least 45 minutes, stirring occasionally.
Taste and adjust seasoning before serving warm with your favorite toppings.