Heat the olive oil in a large pot over medium heat.
Add the diced chicken breast and sliced andouille sausage, browning for 4-5 minutes until golden.
Stir in the onion, bell pepper, and celery, sautéing until the vegetables are softened and fragrant.
Add the minced garlic, smoked paprika, thyme, cayenne, salt, and pepper, stirring for 1 minute to toast the spices.
Pour in the tomato puree, chicken broth, and long grain rice, then add the bay leaf and stir to combine.
Bring the mixture to a boil, then reduce heat to low, cover, and simmer for 15-18 minutes until the rice is tender.
Gently fold in the raw shrimp and cover for an additional 3-5 minutes until the shrimp are pink and cooked through.
Remove the bay leaf and serve hot.