Preheat the oven to 375 degrees F. Lightly coat a 9-inch pie dish with cooking spray.
Bring a large pot of water to a boil over high heat. Add the asparagus pieces and cook until tender when pierced with a fork, 1 to 2 minutes. Drain into a colander and rinse with cold water.
In a large bowl, combine the eggs, egg whites, water, thyme, cottage cheese, salt and pepper. Whisk vigorously to break up the cottage cheese.
Pour the egg mixture into the prepared pie dish. Sprinkle the asparagus throughout the egg mixture, then top with the feta cheese.
Bake until the the egg is just set and a small, sharp knife inserted in the center comes out clean, about 30 minutes.
Let the quiche rest for 5 minutes, then cut into 6 wedges. Serve.
Notes
Please note that I am not a medical or nutritional professional. I provide nutritional information for my recipes as a courtesy to my readers. It is calculated using the LoseIt! calculator. While I attempt to provide information that is as accurate as possible, you should calculate the nutritional information independently before relying on it.