Sprinkle flour over the vegetables and stir well to combine, creating a roux.
Pour in the chicken broth gradually, stirring constantly to prevent lumps. Allow the mixture to thicken slightly.
Add the shredded cooked chicken, cooked rice, undrained diced tomatoes, dried thyme, dried basil, dried oregano, salt, and pepper to the pot. Stir to combine.
Bring the soup to a gentle simmer and let it cook for about 10-15 minutes to allow the flavors to meld.
Pour in the whole milk and heavy cream, stirring to incorporate. Continue to simmer for an additional 5 minutes.
Taste and adjust the seasoning if necessary.
Ladle the Creamy Tomato, Chicken & Rice Soup into bowls and garnish with fresh parsley if desired.
Serve the soup hot, relishing the comforting combination of creamy broth, tender chicken, and wholesome rice. Enjoy this hearty and satisfying bowl of soup!