Heat the olive oil in a large saucepan set over medium heat. Add the onion, celery, red pepper and garlic and cook until the vegetables are beginning to soften (about 5 minutes).
Add the green chiles and cook for 1 minute.
Pour in the chicken broth, bring the mixture to a boil, then reduce heat and simmer for 10 minutes.
Add the corn and simmer for 3 minutes.
Place the flour in a medium bowl and slowly whisk in the milk until the mixture is smooth.
Slowly whisk the milk mixture into the soup, along with the salt and pepper. Cook, whisking frequently, until the soup is thickened (about 15 minutes).
Stir in the chicken (or turkey), cheddar cheese and cayenne pepper. Stir until the cheese is melted.
Recipe by Cohen Family Cookbook at https://cohenfamilycookbook.com/2016/04/chicken-corn-chowder/