Heat olive oil in a large skillet or Dutch oven over medium heat.
Add diced onion and celery; sauté for 6 minutes until vegetables are softened.
Stir in minced garlic and cook for 1 minute until fragrant.
Add the frozen peas and carrots to the skillet, stirring to combine.
In a small bowl, whisk the cornstarch into the cold chicken bone broth until completely dissolved.
Pour the broth mixture into the skillet and bring to a simmer while stirring constantly.
Incorporate the shredded chicken, thyme, salt, and pepper into the sauce.
Reduce heat to low and simmer for 10 minutes until the sauce has thickened to a gravy-like consistency.
Remove from heat and stir in the heavy cream until the mixture is uniform and creamy.
Portion into bowls and serve immediately.