01 - Preheat oven to 375°F (190°C).
02 - Pat the chicken breasts dry with paper towels. Season both sides generously with salt, freshly ground black pepper, and smoked paprika.
03 - In a large ovenproof skillet over medium-high heat, melt 2 tablespoons of butter. Add the chicken breasts and sear for 3 to 4 minutes per side until a golden-brown crust forms. Remove the chicken and set aside on a plate.
04 - Reduce the heat to medium. Add the remaining 2 tablespoons of butter to the skillet. Add the chopped onion, diced red bell pepper, and minced garlic. Sauté for 3 to 4 minutes until the vegetables are softened and fragrant.
05 - Deglaze the skillet with the chicken broth, scraping up any browned bits from the bottom. Stir in the heavy cream, shredded sharp cheddar cheese, Worcestershire sauce, cayenne pepper, and additional smoked paprika if desired. Simmer for 2 to 3 minutes, allowing the sauce to thicken slightly.
06 - Place the seared chicken breasts back into the skillet, spooning the sauce over the top of each piece to coat evenly.
07 - Transfer the skillet to the preheated oven. Bake for 20 minutes, or until the chicken is cooked through and reaches an internal temperature of 165°F (74°C).
08 - Remove the skillet from the oven and let the chicken rest for 5 minutes. Garnish with sliced green onions and chopped fresh parsley. Serve alongside rice, mashed potatoes, or cornbread.