Preheat your oven to 425°F (220°C).
In a large skillet, melt the butter over medium heat.
Add the onion and cook until translucent.
Stir in the carrots and potatoes, cooking for about 5 minutes.
Sprinkle flour over the vegetables and stir to coat.
Gradually add chicken broth and milk, stirring until thickened.
Mix in the shredded turkey, peas, salt, pepper, and thyme.
Pour the filling into a pie dish lined with one pie crust.
Cover with the second crust and seal the edges.
Cut slits in the top crust for steam to escape.
Bake for 30-35 minutes until golden brown.