Preheat your oven to 425°F (220°C).
- In a large skillet or saucepan, melt the butter over medium heat. Add the diced onions, celery, and carrots, and cook for 5-7 minutes, or until the vegetables are softened.
- Stir in the garlic powder, thyme, salt, and pepper. Sprinkle the flour over the vegetables and cook for 1-2 minutes, stirring constantly, to create a roux (paste).
- Gradually add the chicken broth and milk, stirring constantly until the mixture thickens and becomes smooth, about 5 minutes.
- Add the cooked chicken and frozen peas to the skillet, and mix everything together. Let the mixture simmer for another 5 minutes until heated through. Taste and adjust the seasoning if needed.
- Roll out one of the pie crusts and fit it into the bottom of a 9-inch pie pan or baking dish. Press gently to ensure the crust is snug against the edges.
- Pour the chicken mixture into the prepared crust and spread it out evenly.
- Roll out the second pie crust and place it on top of the filled pie. Trim any excess crust, then crimp the edges to seal the pie. Cut a few small slits in the top crust to allow steam to escape while baking.
- Place the pie on a baking sheet to catch any drips, and bake in the preheated oven for 30-35 minutes, or until the crust is golden brown and the filling is bubbling.
- If the crust begins to brown too quickly, cover the edges with aluminum foil to prevent burning.
- Let the Chicken Pot Pie cool for 5-10 minutes before slicing and serving. This allows the filling to set slightly and makes it easier to cut.