Heat the extra virgin olive oil in a large deep skillet or pot over medium-high heat.
Add the sliced chicken andouille sausage and sear for 3-4 minutes until browned and slightly crispy.
Stir in the diced onion, green bell pepper, and celery, sautéing for 5 minutes until the vegetables soften.
Add the minced garlic, smoked paprika, dried oregano, and cayenne pepper, stirring constantly for 1 minute to release the oils and aromas.
Pour in the crushed tomatoes, chicken bone broth, and dry brown rice, stirring well to combine.
Bring the mixture to a gentle boil, then reduce the heat to low, cover with a tight-fitting lid, and simmer for 35-40 minutes until the rice is tender and the liquid is absorbed.
Place the raw shrimp on top of the rice, cover again, and cook for 3-5 minutes until the shrimp are pink and opaque.
Season with sea salt and black pepper, then fluff the rice with a fork and serve immediately.