Season the chicken thighs with salt, pepper, and smoked paprika. Set aside.
In a large skillet, heat olive oil over medium heat. Add sliced onions and diced bell pepper. Sauté until the onions become translucent, about 5 minutes. Stir in the minced garlic and cook for another minute.
Push the vegetables to the side of the skillet and add the seasoned chicken thighs. Cook for about 5-6 minutes on each side, until browned.
Sprinkle the rice into the skillet around the chicken. Pour the chicken broth over the entire skillet, ensuring the rice is submerged.
Bring the mixture to a gentle boil, then reduce the heat to low. Cover and simmer everything for about 20 minutes, or until the rice is cooked and has absorbed most of the liquid.
Remove the lid and stir in the heavy cream and dried thyme. Mix until smooth and creamy. Cook for an additional 5 minutes to heat through. Adjust seasoning with more salt and pepper if necessary.
Remove the skillet from heat and garnish with freshly chopped parsley before serving.