01 -
Preheat the oven to 375 degrees Fahrenheit.
02 -
In a large pot over medium-high heat, melt the butter. Add diced onion, carrot, and celery; cook, stirring occasionally, until the onion is translucent, about 3 minutes.
03 -
Stir in the shredded chicken or turkey. Sprinkle flour evenly over the mixture and stir until it forms a cohesive coating on the meat and vegetables. Cook for 1 minute to eliminate raw flour taste.
04 -
Gradually pour in chicken broth and a splash of white wine. Stir well and cook until the mixture begins to thicken. Add turmeric, salt, pepper, and chopped fresh thyme, mixing to combine.
05 -
Add half-and-half or cream, stir thoroughly, and let the filling bubble gently and thicken for about 3 minutes. If it appears too thick, pour in a small amount of additional broth. Remove from heat.
06 -
Transfer the hot filling into a 2-quart baking dish. Roll out the pie crust on a floured surface and drape it over the filling, pressing the edges to seal against the dish. Cut several small vents in the crust to allow steam to escape.
07 -
Whisk together the egg and 2 tablespoons of water in a small bowl. Brush the egg wash evenly over the surface of the pie crust.
08 -
Position the filled dish on a rimmed baking sheet. Bake for 25 to 30 minutes or until the crust is golden brown and the filling is bubbling. If the crust darkens too quickly, loosely tent with foil for the first 15 minutes.
09 -
Let cool briefly before serving generous spoonfuls while hot.