Brown the sausage: In a large Dutch oven, cook andouille slices over medium heat until browned. Remove and set aside.
Make the roux: In the same pot, add oil and flour. Stir constantly with a wooden spoon over medium-low heat until the roux turns dark brown about 25–40 minutes. Do not let it burn.
Add the vegetables: Stir in onion, bell pepper, and celery. Cook for 5–7 minutes until softened. Add garlic and cook 30 seconds more.
Season the base: Stir in Cajun seasoning, smoked paprika, thyme, salt, and pepper. Let the spices bloom for 30 seconds.
Build the gumbo: Gradually whisk in the warm stock, a little at a time, to avoid lumps. Add bay leaves, Worcestershire sauce, and crushed tomatoes if using.
Simmer and thicken: Add okra (optional). Simmer uncovered for about 20–25 minutes, stirring occasionally.
Add the gator and sausage: Return the browned sausage to the pot and add the alligator meat. Simmer gently for 10–15 minutes, or until the gator is opaque and tender. Avoid boiling.
Finish and taste: Adjust seasoning with salt, pepper, and hot sauce. If desired, stir in a pinch of filé powder off the heat for extra richness.
Serve: Spoon the gumbo over cooked white rice. Garnish with chopped scallions and parsley. Serve hot with cornbread or crusty bread.