Sauté the onions, carrots, and celery in butter until tender. Add minced garlic for an extra layer of flavor.
Make a roux by sprinkling flour over the vegetables and stirring until combined. Gradually add chicken stock and simmer until the mixture thickens.
Stir in shredded chicken breasts, frozen peas, and heavy cream. Simmer for a few minutes to allow flavors to meld.
Season with salt, pepper, and chopped thyme.