Mix together all the filling ingredients and place them into a deep-dish pie plate.
Melt the cheeses for the pastry dough in a bowl in a microwave. Make sure they are entirely melted and hot. Add melted cheese to a food processor with the other dough ingredients. Pulse until a dough forms.
Press the dough into a circle on a piece of wax paper. Invert onto the pot pie filling. Fold the edges over to make the crust. Brush with the beaten egg. Cut a few small slits in the top.
Bake for 40 minutes or until the crust is golden and the filling is hot.