Melt butter in a large saucepan or dutch oven over a low heat. Whisk in the flour, salt and pepper; blend until smooth.
Slowly whisk in the broth, half & half, and soup. Add the food coloring a few drops at a time to obtain a light yellow color. Cook over a medium heat, stirring frequently until mixture begins to thicken.
Stir in the chicken, reduce heat to low and simmer for 10 minutes or until desired consistency. Stir frequently while mixture is cooking. Remove from heat.
Mixture will continue to thicken as it cools. Add additional salt and pepper to taste if needed.
Serve warm with biscuit, mashed potatoes and a green vegetable.
If mixture becomes too thick, may be thinned with additional chicken broth or milk.
If mixture becomes too thin, may add additional can of soup.