Heat avocado oil in a heavy-bottomed pot or Dutch oven over medium-low heat.
Whisk in the cassava flour slowly, stirring constantly for 8 to 10 minutes until the roux reaches a dark, chocolate-brown color without burning.
Add the diced onion, celery, and green bell pepper to the roux, sautéing for 5 minutes until the vegetables soften.
Stir in the minced garlic, creole seasoning, dried thyme, sea salt, and black pepper, cooking for 1 minute until fragrant.
Add the sliced andouille sausage and diced chicken breast to the pot, stirring to coat the meat in the roux and spices.
Slowly pour in the chicken broth while stirring to incorporate, then add the bay leaf.
Bring the mixture to a gentle boil, then reduce the heat to low and simmer, covered, for 20 minutes.
Stir in the sliced okra and continue to simmer uncovered for another 10 minutes to allow the gumbo to thicken naturally.
While the gumbo finishes, steam the cauliflower rice until tender.
Remove the bay leaf and serve the hot gumbo over the cauliflower rice, garnished with fresh chopped parsley.