Stir together apples, sugar, and cinnamon. Cook over low heat for 8 to 10 minutes, until apples are tender. Set aside. Combine flour and salt; cut in shortening with a fork. Stir in water to a dough consistency. Roll out dough 1/8-inch thick on a floured surface. Cut out with a 4-inch round cookie cutter; place one tablespoon apple mixture in center of each circle. Sprinkle edges with water; fold circles in half. Seal edges with a fork; set aside. Heat oil in a skillet over medium-high heat. Fry pies, a few at a time, for 2 to 3 minutes on each side, until golden. Drain on paper towels; sprinkle with powdered sugar while still warm.