Place chicken breasts on a baking sheet, rub with olive oil and sprinkle with pepper, salt, oregano, paprika, garlic powder and onion powder.
Roast in a 350 degree oven for 30 minutes or until internal temperature reaches 165 degrees.
Remove from oven and set aside until cool enough to handle, then shred using two forks or meat claws.
While the chicken is roasting, begin chopping vegetables into bite-size pieces.
Add 2 tablespoons of olive oil to a large skillet and heat on medium heat.
Add in chopped vegetables and cook until they begin to soften, about 10 minutes.
Stir in flour and mix thoroughly.
Slowly add in chicken broth and bring to boil.
Cook until thickened, about 5 minutes.
Stir in almond milk and shredded chicken.
Unroll the phyllo sheets and lay them flat on a dry surface. Cover with plastic wrap and a damp towel. It’s important to place plastic wrap between the phyllo and damp towel, otherwise the towel will moisten the sheets and they will stick together.
You can assemble your pie in a large baking pan or in individual oven-proof bowls.
With a soft-bristle pastry brush, prepare the pan or bowls by brushing a light coating of olive oil on the bottom and sides.
Working quickly, remove one sheet of phyllo (covering up the rest) and lay it in the bottom of the pan, with phyllo overlapping the side of the pan.
Lightly brush with olive oil.
Repeat until you have used 8 sheets of phyllo,lightly brushing each layer with olive oil. The dough overlapping the sides will eventually become the top of the pot pie.
Pour the chicken and vegetable mixture into the pan with the phyllo base.
Proceed by using the overlapped pieces of phyllo on top of the filling, and continue to layer new pieces of phyllo to cover the top. Make sure to brush olive oil between each sheet of the top layer, too.
Tuck edges of phyllo dough down around the edge of the pan.
Brush olive oil on top sheet and with a sharp knife score the dough, diagonally and horizontally. This will allow steam to escape and prevent the phyllo dough from raising in one piece.
Bake in a preheated 375 degree oven for 30 -40 minutes or until top is golden. Enjoy!