Cut the whole orange into 4, 6 or 8 pieces and remove any seeds.
Drop the orange pieces into a food processor with the half cup orange juice and whiz until the peel is finely chopped.
Drop in the dates and egg and butter; give the food processor a very short whirl.
Into a bowl sift together the flour, baking soda, baking powder, sugar and salt.
Pour the wet orange mixture over the dry mixture. Stir lightly with a wooden spoon or spatula - just enough to moisten.
Drop spoonfuls of the batter into muffin tins and bake at 400° F for about 15-20 minutes.
If icing, cool completely. These store well at room temperature in a covered tin, or can be frozen and used as needed.