In a large pot, drizzle oil over medium low heat. Stir in the flour and cook, stirring constantly, until darkened to a deep brown, about 10 minutes.
Stir in the onions, celery, and bell pepper. Cook, stirring often, until softened, 8-10 minutes. Stir in the garlic and cook until just fragrant, 30 seconds to 1 minute.
Pour in the water and season with hot sauce and cayenne pepper. Bring to a boil over high heat. Add the chopped spinach, collard greens, parsley, swiss chard, kale, and bay leaves, in batches if needed.
Once the mixture returns to a boil, reduce heat to medium and season lightly with salt and pepper. Simmer, stirring occasionally, until the vegetables are soft and tender, about 1 hour.
Remove from heat and season with filé powder and more salt and pepper if needed. Remove the bay leaves.
Serve hot with cooked white rice and a sprinkling of more filé powder and hot sauce.