Warm the fat slightly. Beat the fat and sugar in a bowl with the whisk of the hand mixer for approx. 5 minutes until foamy. Add eggs, almonds, lemon peel, rum and cream and stir in.
Sift the flour and stir in 2/3 of it by the spoonful. Mix the rest of the flour with the baking powder and knead well. Cover the dough and chill for about 20 minutes. Then roll out the dough on a lightly floured work surface to a thickness of approx. 1 cm and cut it out with special almond shapes (available in stores) or cut it into drop-shaped cookies by hand.
Heat the cooking fat in a high pot or deep fryer to 180° C. Fry the almonds in it in portions until golden brown. Drain on kitchen paper. Dust with icing sugar before serving.