Start by combining the seasoning blend and setting it aside. In a 4 1/2-quart pot, melt the butter over medium heat. Once the butter has melted, add in the diced onions and chopped jalapeño. Allow them to sauté for 5 minutes until softened. Then, incorporate the minced garlic and cook for an additional minute.
Sprinkle the flour over the vegetables, ensuring they are evenly coated. Let it cook for 2 minutes to eliminate any raw flour taste. Gradually pour in the chicken broth, stirring constantly to avoid lumps. Add the half and half in the same slow manner, stirring continuously.
For a thicker consistency, you may reserve 1 heaping cup of the drained beans, blending them with ½ cup of the broth in a food processor, blender, or with an immersion blender. Once smooth, add it back into the soup along with the remaining whole beans. Otherwise, you can add all the beans whole.
Stir in the seasoning mix, hot sauce, Worcestershire sauce, and the cans of green chilies. Allow the mixture to come to a gentle boil. Boil uncovered for about 15 minutes, then reduce to a simmer.
Season both sides of the chicken breasts with salt and pepper before adding them to the pot along with the corn. Let the soup simmer gently for 15-20 minutes, stirring occasionally to prevent the beans from sticking to the bottom. Avoid a rapid boil, as this can toughen the chicken.
Once the chicken is fully cooked, remove it from the pot and shred it using two forks. Return the shredded chicken to the soup. Lower the heat to a gentle setting, and stir in the softened cream cheese. Continue to stir until the cheese has melted completely into the chili.
Taste the chili and adjust the seasonings if needed. Serve hot, accompanied by cornbread and your choice of garnishes!