Bring cherry nectar and 5 tablespoons of rum to the boil once. Remove from heat. Wash the cherries and add them with stalks to the juice. Leave to stand for about 2 hours.
In the meantime, take 6 tablespoons of the milk, bring the rest to the boil. Mix the pudding powder with 50 g sugar and 6 tbsp milk until smooth. Stir into the boiling milk and let it boil for about 1 minute while stirring. Put the pudding in a bowl, cover the surface directly with foil and let the pudding cool down.
Roughly chop the chocolate coating and put aside approx. 50 g for sprinkling. Whip the cream until stiff, while pouring in 30 g sugar. Finally, stir in 3 tbsp. rum. Stir the pudding briefly with the whisk of the hand mixer. Loosely fold the rum cream and chocolate coating into the pudding so that streaks of cream remain. Divide into 4-6 glasses (approx. 300 ml each) and sprinkle with couverture. Drain the cherries and add to the pudding.