In a large skillet, heat the olive oil over medium heat. Add the chorizo and cook for about 5 minutes, breaking it up with a spoon until browned.
Add the chicken pieces to the skillet and cook for another 5-7 minutes, until the chicken is no longer pink.
Stir in the diced onion, garlic, and bell pepper. Cook for 3-4 minutes until the vegetables are softened.
Sprinkle in the smoked paprika, cumin, chili powder, salt, and pepper. Mix well to combine.
Pour in the chicken broth, corn, black beans, and diced tomatoes. Stir everything together and bring to a simmer.
Reduce the heat to low and let it cook for about 10-15 minutes, allowing the flavors to meld.
Sprinkle the shredded cheese on top and cover the skillet. Let it sit for 2-3 minutes until the cheese is melted.
Serve hot, garnished with fresh cilantro and lime wedges on the side.