Preheat oven to 375° F.
To make the streusel, combine first addition of flour, sugar, brown sugar and cinnamon in a large mixing bowl. Cut butter into dry ingredients until mixture resembles coarse cornmeal; set aside.
Toss prepared apples with lemon juice. Add cheddar cheese, second addition of flour and nutmeg; toss until well mixed.
Arrange apple mixture in pie crust; sprinkle streusel on top.
Bake for 40 to 50 minutes or until golden brown. Remove from oven and let cool.Servings: 8