Cook rice to package directions.
Place a large, deep skillet over medium high heat. Add oil and butter to the pan.
Cube chicken and place in hot oil and butter. Brown chicken 3 minutes, add sausage, and cook 2 minutes more.
Add onion, celery, pepper, bay, and cayenne. Saute vegetables 5 minutes, sprinkle flour over the pan and cook 1 or 2 minutes more.
Stir in tomatoes and broth and season with cumin, chili, poultry seasoning, and Worcestershire.
Bring liquids to a boil and add shrimp. Simmer shrimp 5 minutes until pink and firm.
Remove the pot from the heat and place on a trivet. Ladle jambalaya into shallow bowls.
Using an ice cream scoop, place a scoop of rice on to the center of the bowlfuls of jambalaya.
Sprinkle dishes with salt, pepper, chopped scallions, and thyme leaves.
