Warm olive oil in a Dutch oven or large, deep skillet over medium-high heat. Add sausage and cook for 4-5 minutes, stirring just once or twice, until browned and crispy on the edges. Remove sausage to a paper towel-lined plate and set aside.
2 teaspoons olive oil, 1 pound andouille sausage
Add onion, peppers, and celery to the skillet. Cook for 4 minutes, just until the veggies begin to soften. Add garlic and tomato paste; cook 30-60 seconds more.
1 small yellow onion, 1-2 bell peppers, 3 celery ribs, 3 cloves garlic, 2 teaspoons tomato paste
Stir in the chicken broth, tomatoes, 1 teaspoon paprika, thyme, oregano, and cayenne, if using. Reduce heat to medium and let the mixture simmer gently for 5-10 minutes. Reduce heat further if the liquid is boiling rapidly. Sample and add salt and black pepper to taste.
1 and 1/2 cups chicken broth, 1 (15 ounce) can crushed or petite diced tomatoes, 2 teaspoons paprika, 1 teaspoon dried thyme, 1 teaspoon dried oregano, 1/2 teaspoon cayenne pepper
While the liquid cooks, sprinkle shrimp with salt, pepper, and remaining 1 teaspoon paprika. Add shrimp to the pan and cook for 2-3 minutes, just until opaque. Return the cooked sausage to the pan and stir well.
kosher salt and black pepper, 1 pound raw shrimp
Garnish with sprigs of fresh thyme or parsley. Serve as desired — over regular rice, cauliflower rice, on its own, with veggies, or with bread.
fresh thyme or parsley, 3-4 cups rice