Preheat oven to 375°
Heat oil in a large cast-iron or heavy skillet over high heat. Add onion, celery, bell pepper, and carrot; sauté 1 1/2 minutes. Add chicken and next 7 ingredients (chicken through salt); bring to a boil. Reduce heat, and simmer for 2 minutes. Bake at 375° for 10 minutes. Sprinkle with cheese and jalapeño; bake an additional 5 minutes or until cheese melts.