Start by melting butter in a large pot over medium heat. Stir in flour and cook for about two minutes until it forms a smooth paste. Slowly whisk in chicken broth and half-and-half to avoid lumps. Let it boil gently until the mixture thickens slightly.
Now add the cooked chicken and sliced sausage into the pot. Toss in beans, corn, and green chilies to build texture and flavor. These ingredients make the chili hearty and satisfying. Stir everything well to combine evenly.
Sprinkle in cumin, chili powder, garlic powder, onion flakes, and Cajun seasoning. These spices create that signature bold and smoky taste. Mix thoroughly so the flavors distribute evenly throughout the chili. Adjust seasoning based on your spice preference.
Bring the chili to a gentle boil, then reduce heat to low. Let it simmer for 10–15 minutes, stirring occasionally. This step allows all flavors to blend beautifully. You’ll notice the chili becoming thicker and more aromatic.
Finally, stir in shredded pepper jack cheese until melted and creamy. This gives the chili a rich, slightly spicy finish. Taste and adjust seasoning if needed. Serve hot for the best experience.