Gumbo Style Chicken Creole

Name: Gumbo Style Chicken Creole
Ingredients: 0.25 cup vegetable oil; 0.25 cup all-purpose flour; 1 green bell pepper, chopped; 1 medium onion, chopped; 2 cups cooked chicken, chopped; 1 (14.5 ounce) can diced tomatoes with green chile peppers, with liquid; 1 (4.5 ounce) can sliced mushrooms, drained; 2 tablespoons chopped fresh parsley; 2 teaspoons Worcestershire sauce; 3 cloves garlic, minced; 1 teaspoon soy sauce; 1 teaspoon white sugar; 0.5 teaspoon salt; 0.5 teaspoon ground black pepper; 3 dashes hot sauce, or to taste; 0.5 cup chicken broth, or as needed