Preheat oven to 375°F. Layer ham, cheese, and broccoli in the pie crust.
In a medium bowl, whisk together eggs, milk, salt, ground mustard, and pepper.
Pour egg mixture over the broccoli. Gently use your fingers to press the broccoli and other filling ingredients into an even layer in the dish.
Bake for 45-55 minutes, or until a knife inserted in the center comes out clean. Allow the quiche to rest for at least 20-30 minutes before slicing and serving.
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Notes
I use whole milk, but heavy cream will also work in this recipe. I do not suggest substituting with skim or 1% milk, because you need the fat in the milk to create the best texture in the egg custard.
The total baking time will vary depending on the type of pan that you use, and on your individual oven. You know the quiche is done when you insert a knife in the center and it comes out clean.
The quiche will continue to firm up and set as it cools, so let it rest for at least 20-30 minutes before slicing and serving.
This homemade cheese and broccoli quiche can be served warm, at room temperature, or cold.
Recipe adapted from Recipes and Remembrances cookbook from Etlan United Methodist Church.