Preheat the oven to 356°F (or 180°C).
Slice one red onion thinly, and 3 or 4 red beets, chop ½ a cup of pecan nuts, and pull the thyme off 3 stems.
If you want to add roasted nuts, place a skillet over medium heat. Once it’s hot, add the pecan nuts—no oil needed. Keep a close eye on them, as they can burn quickly. Shake the skillet often to ensure they roast evenly. After about 2 minutes, when the nuts are fragrant and lightly browned, transfer them to a bowl to cool.
Add 5 eggs and 1 egg white to a bowl, and whisk them together with 1 cup of crème fraîche, salt, pepper, and the thyme leaves. Note: Keep one egg yolk to brush the sides of the pie crust. Take the spring form, the parchment paper, and 1 tsp of butter. Grease the spring form with the butter and put the parchment paper in the spring form (see image).
Roll out one piece of pie crust and put it in the pre-greased spring form.
Take your fork and make some holes in the bottom of the pie crust.
Lay the thin slices of the red onion and the slices of red beets on the pie crust, and crumble the goat cheese on top.
Take the egg yolk from the second step, and brush the sides of the pie crust with it.
Add the egg, thyme, and crème fraîche mixture, and scatter the chopped nuts on top of the quiche filling.
Put the quiche in the preheated oven and bake for about 45 minutes.
Your quiche is ready when a skewer comes out clean after inserting it into the center.