Melt 2 Tablespoons of butter in a skillet over medium heat, add the celery and onion, and cook for 5 minutes. The vegetables should soften and smell sweet and savory, with no raw onion bite left.
Pour in the chicken broth, add the softened cream cheese and heavy cream, and whisk over medium heat until smooth. The mixture should look creamy and unified, with no obvious bits of cream cheese floating around.
Season the sauce with garlic powder, poultry seasoning, celery seed, 1 teaspoon fine pink Himilayan salt or regular salt, and 1/4 teaspoon ground pepper. You should smell a classic pot pie aroma at this stage, rich and a little herby.
Lower the heat and sprinkle in the 1/2 teaspoon xanthum gum while whisking quickly. Keep stirring until the sauce thickens enough to coat a spoon like gravy rather than drip like soup.
Add the shredded rotisserie chicken and frozen peas and carrots, then stir until everything is well coated. The filling should look creamy and full, with the chicken suspended in the sauce instead of sitting in liquid.
Let the filling cool for 5 minutes before spooning it into the par-baked crust. This brief rest cuts down on trapped steam, which helps prevent the top crust from turning gummy underneath.
Place the second crust round over the filling, press the top and bottom edges together, and crimp if you like. The dough should seal neatly around the edge without stretching thin in the center.
Bake the pie for 25 to 30 minutes, covering the edges halfway through with a pie shield or foil if they darken too fast. The pie is ready when the crust is brown and the filling is visibly bubbling around the edges.
Cool the pie for 5 minutes before slicing and serving. The crust will set a bit more and the filling will thicken slightly, making cleaner slices much easier.