Melt butter in a medium saucepan over medium heat. Add flour and thyme and cook for about 5 minutes (until bubbly and thick).
Add milk and chicken broth and whisk constantly until mixture thickens (3-5 min).
Add chicken and peas/carrots and cook until heated through.
Turn off heat and mix in sour cream and keep on burner until heated through (but do NOT let it boil).
Add salt and pepper and serve over cooked biscuits or bread.
Nutrition Info: Calories 712 Total Fat 36 g Cholesterol 106 mg Sodium 1912 mg Potassium 613 mg Total Carbohydrate 66 g Dietary Fiber 5 g Sugars 13 g Protein 31 g