In a large pot or Dutch oven, cook the sliced andouille sausage over medium heat until browned. Remove the sausage with a slotted spoon and set aside, leaving the rendered fat in the pot.
Add the chopped onion, celery, and bell peppers to the pot. Cook until softened, about 5-7 minutes.
Stir in the minced garlic, dried thyme, paprika, cayenne pepper, salt, and black pepper. Cook for 1 minute until fragrant.
Pour in the diced tomatoes (with their juice), tomato sauce, and chicken broth. Bring the mixture to a boil.
Stir in the uncooked rice and the cooked sausage. Reduce the heat to low, cover, and simmer for 20 minutes, or until the rice is almost cooked.
Add the shrimp to the pot and stir. Cover and cook for another 5-7 minutes, or until the shrimp are pink and cooked through.
Remove from heat and let stand, covered, for 5 minutes. Garnish with fresh parsley and green onions before serving.
Notes
Adjust cayenne pepper to your spice preference. Serve hot with a side of crusty bread.