Heat the olive oil in a large skillet over medium-high heat. Add the diced chicken and season with salt and pepper. Cook for about 5-7 minutes, until the chicken is golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the chopped onion and bell pepper. Sauté for about 3-4 minutes, until they start to soften.
Add the minced garlic and cook for an additional 1 minute, until fragrant.
Stir in the black beans, corn, diced tomatoes with green chilies, cumin, smoked paprika, and chili powder. Mix well and let simmer for 5 minutes.
Return the cooked chicken to the skillet, and stir to combine everything. Allow to cook together for another 2-3 minutes to heat through.
Reduce the heat to low and sprinkle the shredded cheddar cheese on top. Cover the skillet and let it sit for 2-3 minutes until the cheese is melted.
Remove from heat and garnish with chopped cilantro and lime wedges for serving.