Preheat oven to 400 degrees. In a large mixing bowl, combine shortening, sugar and egg. Stir in orange juice and orange rind. Measure flour and sift. Blend dry ingredients; stir in.
Drop rounded teaspoonfuls 2-inches apart (a small ice cream scoop could be used) on an ungreased baking sheet. Bake in preheated oven for 8 to 10 minutes. Remove to wire cooling rack and cool.
ln a bowl, blend all ingredients for icing and stir well to blend, then frost cookies. Makes 4 dozen cookies. Enjoy!