Add the meats: Stir in the shredded chicken and diced ham. Cook for another 2-3 minutes until the meats are warmed through.
Simmer the broth: Pour in the chicken broth and bring the mixture to a simmer. Allow it to cook for 5 minutes, letting the flavors meld.
Incorporate cream and cheese: Reduce the heat to low and stir in the heavy cream and shredded Swiss cheese. Mix until the cheese has melted and the soup is creamy.
Season to taste: Add salt, pepper, and dried thyme to taste. Adjust the seasoning based on your preference.
Serve: Ladle the soup into bowls and enjoy hot, perhaps with some crusty bread on the side.
Notes
For best results, use fresh ingredients and adjust seasoning to your taste.