In a large pot or Dutch oven, cook the smoked sausage over medium-high heat until browned. Remove sausage and set aside, leaving drippings in the pot.
Add the diced chicken to the pot and cook until browned on all sides. Remove chicken and set aside.
Add the chopped onion and bell pepper to the pot and cook until softened, about 5-7 minutes.
Stir in the minced garlic and cook for 1 minute more until fragrant.
Add the undrained diced tomatoes, chicken broth, cooked sausage, cooked chicken, rice, cayenne pepper, dried thyme, paprika, salt, and black pepper to the pot. Stir to combine.
Bring the mixture to a boil, then reduce heat to low, cover, and simmer for 20-25 minutes, or until the rice is cooked and liquid is absorbed.
Stir in the shrimp and cook for an additional 5 minutes, or until the shrimp are pink and cooked through.
Taste and adjust seasonings as needed. Serve hot.
Notes
Jambalaya is best served immediately. You can adjust the spice level by adding more or less cayenne pepper.