Prebake pie shell in a preheated oven at 400° until lightly browned. Leave oven on.Heap apples into the pie shell.Sprinkle with brown sugar and cinnamon and mix throughout the apples.In a separate bowl, beat the cream into the eggs. (don't beat so long that the cream whips)Pour egg mixture over apples and top with shredded cheese. Make sure all the apples are covered with the cheese.Bake at 400° for 1 hour until apples are tender and custard is set.Remove from oven and let the quiche sit for about 10 min before serving.