Pat chicken thighs dry, season both sides with 1 tablespoon Creole seasoning, salt, and black pepper. Heat 1 tablespoon oil in the Dutch oven over medium-high heat and sear the chicken skin-side down for 5-6 minutes, then flip for 3-4 minutes; remove to a plate (chicken does not need to be fully cooked).
In the same pot, add the sliced andouille and cook over medium-high heat for 3-4 minutes until browned on both sides. Remove with a slotted spoon to the plate with the chicken, leaving all rendered fat in the pot.
Reduce heat to medium, bring the fat in the pot to 1/2 cup (120 ml), add the flour all at once, and stir continuously for 20-30 minutes until the roux reaches a dark chocolate or brick-red color. Do not stop stirring and do not let it burn.
Add the diced onion, celery, and bell pepper to the roux and stir constantly over medium heat for 5-6 minutes until softened. Add the minced garlic and cook for 1 more minute until fragrant.
Stir in the drained diced tomatoes, then gradually add the chicken broth one cup at a time, stirring well after each addition. Add the bay leaves, thyme, smoked paprika, oregano, cayenne, Worcestershire sauce, and remaining 1 tablespoon Creole seasoning; stir to combine.
Return the browned chicken thighs to the pot, bring to a boil, then reduce to low, cover, and simmer for 35-40 minutes until fully cooked through. Remove chicken, discard skin and bones, shred the meat with two forks, and set aside.
Return the andouille sausage and shredded chicken to the pot and stir in the sliced okra. Simmer uncovered for 15-20 minutes, stirring occasionally, until the gumbo thickens; taste and adjust salt, pepper, and cayenne.
Add the peeled and deveined shrimp to the pot and cook for 4-5 minutes until pink and curled. Remove and discard the bay leaves.
Ladle the gumbo over cooked long-grain white rice in deep bowls and garnish with sliced green onions, fresh parsley, and hot sauce on the side.