Following the directions on the box, make vanilla pudding. Set pudding in the refrigerator.
Add whipping cream, sugar, and extract or orange peel to a large, cold mixing bowl. Beat on high until stiff tips begin to form and you have whipped cream.
Mix half of the whipped cream into the entire container of pudding. Pour into the pie crust until full. Refrigerate until serving.
Reserve the other half of the whipped cream to top each piece of pie when serving.