Melt the butter: In a large pot over medium heat, melt 2 tablespoons of butter.
Sauté the onion: Add 1 small diced onion and sauté for about 3-4 minutes until it becomes translucent.
Add garlic: Stir in 2 minced garlic cloves and cook for an additional minute until fragrant.
Incorporate chicken broth: Pour in 3 cups of chicken broth and bring the mixture to a boil.
Add chicken and turkey: Once boiling, add 1 cup of shredded cooked chicken and 1 cup of diced cooked turkey. Stir gently to combine.
Lower the heat: Reduce the heat to low to allow the soup to simmer.
Mix in cream and cheese: Slowly incorporate 1 cup of heavy cream, 1 cup of shredded Swiss cheese, 1 tsp of Dijon mustard, and ½ tsp of dried thyme. Stir continuously until the cheese melts and the soup becomes creamy.
Season: Adjust the flavor by adding salt and pepper to taste.
Serve: Ladle the soup into bowls, garnish with chopped parsley, and enjoy your delicious meal!