Preheat oven to 375 degrees F. Spray large 9 x 13 baking dish with cooking spray. Set aside.
In a medium bowl, whisk the eggs. Add cooked quinoa, cheese and pepper; stir with a spoon to combine and set aside.
In another medium bowl, make the slurry by combining chicken stock, milk, cornstarch and whisk with a fork. Make sure liquids are cold otherwise cornstarch will lump.
Preheat large ceramic non-stick skillet on medium heat and swirl oil to coat. Add onion and celery; cook for 5 minutes, stirring occasionally. Add mushrooms and cook for 3 more minutes.
Add thyme, garlic powder, salt, pepper, peas, corn and carrots. Cook for 3 minutes, stirring occasionally.
Whisk the slurry again (cornstarch settle to the bottom quickly) and add to the skillet. Bring to a boil and cook until filling bubbles and thickens. Add cooked chicken and stir to combine. Turn off heat.
Transfer filling to prepared baking dish and flatten with a spatula.
Drop spoonfuls of quinoa mixture on top and spread with a spatula to cover the filling evenly.
Bake uncovered for 25 minutes.
Remove from the oven, let cool for 5 - 10 minutes and cut into 8 squares. Serve hot.
Notes
Store: Refrigerate in an airtight container for up to 3 days.
Freeze: Leftovers can be frozen for up to 3 months.
Cooked chicken breast: Any cooked, grilled or rotisserie cubed chicken works.
Cooked quinoa: Usually 1 cup of dry quinoa yields 3 cups cooked quinoa. Follow package directions.
Vegetables: Onion, peas, carrots, corn, celery and mushrooms. I use frozen peas and corn and then add chopped fresh carrot. You can also use mirepoix.
Eggs: They act as a binder for crust. Sorry I have not tried an egg replacer.
Milk: Whole milk makes the creamiest sauce. Any milk works.