Melt butter and in large frying pan or dutch oven.
Add vegetables (except peas) to pan. Cook about five minutes. Add sprigs of thyme (to be removed later).
Sprinkle flour over vegetables, Stir well.
Deglaze pan with white wine about a minute.
Stir in chicken broth.
Once chicken broth is warmed through about twenty minutes, add in heavy cream.
Add chicken and frozen peas.
Allow to cool, while rolling out prepared pie dough.
Take pie dough out of fridge and let sit for 10 minutes.
Roll out two discs, using extra flour to make sure they don't stick.
NOTE: If you want to use a decorative cut out, cut out first and then refrigerate your rolled out pie dough and cut-out for ten minutes in fridge so it will be easy to handle. Then place the pie dough over the chicken filling first. THEN place the cut-out back in.
Place first pie crust in pie pan, not forcing or stretching.
Add cooled chicken filled. Top with remaining pie dough. Cut slits on top for steam to escape. Cut off excess around the pie. Crimp or use fork to press together.
Egg Wash: Beat one egg with two tablespoons water. Brush over pie crust.
Bake for 45-50 minutes at 400 degrees F. in lower third of oven.Cool for ten minutes before cutting.