First, roast the kumquats. Simply slice them into 1/4 inch rounds, removing the seeds as you go. Place them on a baking sheet, drizzle with oil, sprinkle with salt and roast at 375F for about 25 minutes.
Cut butter into flour and salt using a pastry blender. Then add in egg, sugar, kumquats and milk. Once the mixture comes together, turn out onto a clean work surface and knead about 10 times.