Heat the extra virgin olive oil in a large skillet or pot over medium heat.
Add the sliced chicken andouille sausage and sear for 3-4 minutes until the edges are browned and crisp.
Stir in the diced onion, green bell pepper, and celery, sautéing for 5 minutes until the vegetables are tender.
Add the minced garlic, smoked paprika, dried oregano, dried thyme, cayenne pepper, sea salt, and black pepper, stirring for 1 minute until fragrant.
Pour in the crushed tomatoes, chicken broth, and dry long-grain white rice, stirring to combine all ingredients.
Bring the mixture to a boil, then immediately reduce the heat to low, cover the pot with a tight-fitting lid, and simmer for 15-18 minutes.
Once the rice is tender and has absorbed most of the liquid, place the raw shrimp on top of the rice and cover again.
Cook for an additional 3-5 minutes until the shrimp are pink and opaque.
Remove from heat, fluff the rice with a fork to incorporate the shrimp and sausage, and garnish with freshly chopped parsley before serving.