Place the greens in a large soup pot with enough water to just cover the greens. Bring to a boil and cook for 15 minutes. Drain, reserving 2 cups of the cooking water.
On a cutting board, coarsely chop the greens and set aside.
In a small saucepan over medium-low heat, whisk 1/4 cup oil and the flour together and cook, stirring constantly, until the roux is a dark reddish-brown, about 15 minutes. Remove the pan from the heat and set aside.
In the large soup pot, heat the remaining 2 tablespoons of oil and sauté the onions, bell pepper, celery, and tomatoes for about 10 minutes or until the vegetables are wilted.
Add the hot sauce, bay leaves, file powder, cayenne, thyme, oregano, basil, parsley, garlic, salt, and pepper and cook for 5 minutes.
Add the roux, vegetable or faux chicken broth, and the reserved greens-cooking water, stirring well to blend in the roux.
Reduce the heat and simmer, uncovered, for 15 minutes. Add the cooked collard greens, okra, kidney beans, and rice and cook for 5 minutes.