Step 1

Heat a heavy cast-iron skillet over medium heat. Add flour and cook, stirring constantly with a wooden spoon, until the flour turns a deep golden color, 7 to 10 minutes. Transfer the flour to a plate and let cool. (There will be a strong aroma similar to burnt toast. Be careful not to let the flour burn; reduce the heat if flour seems to be browning too quickly.) Alternately, toast the flour in a pie plate in a 400 degrees F oven for 20 minutes.

Step 2

Heat oil in a heavy stockpot over medium heat. Add onion, bell pepper, celery and garlic; sauté until the onions are lightly browned, about 7 minutes. Stir in the toasted flour. Gradually stir in broth and bring to a simmer, stirring. Add tomatoes, okra, pepper, thyme, oregano, cayenne and bay leaf. Cover and cook for 15 minutes. Stir in rice and cook, covered, for 15 minutes longer.

Step 3

Add shrimp, chicken and sausage; simmer until the shrimp is opaque inside, the chicken is no longer pink and the rice is tender, about 5 minutes longer. Discard the bay leaf and season with salt. Ladle into bowls and serve with hot sauce.