Heat a large skillet over medium-high heat. Melt butter, add shallots, garlic and thyme and cook for 3 minutes. Add wine and cook for an additional minute. Whisk in flour until smooth. Add evaporated milk and chicken stock and bring to a simmer. Add broccoli and cook for 3-4 minutes. Add quinoa, chicken, yogurt and half of cheese and stir until combined and cheese is melted. Season with S&P to taste.
Add mixture to a casserole dish. Sprinkle the top with additional cheese. Bake for 15 minutes. Turn oven to broil for 3 minutes or until golden brown. Watch the casserole carefully on broil to make sure it doesnt burn. Remove from oven and allow to cool for a few minutes before serving.
Recipe by Good Thyme Kitchen at https://www.goodthymekitchen.com/chicken-broccoli-bake-quinoa/