Wash duck breasts, pat dry and scratch the skin crosswise. Season with salt and pepper. Place the meat with the skin facing upwards in an ovenproof dish on a bed of 4 thyme twigs.
Roast in the preheated oven (electric cooker: 175 °C/ gas: level 2) for approx. 30 minutes depending on the size of the breasts. In the meantime, wash, clean and drain the cherries. Halve the cherries and stone them.
Wash the remaining thyme and dab dry. Finely grind the spices in a mortar. Meanwhile cook spaetzle in boiling salted water for about 15 minutes. Drain spaetzle, mix with fat, season with nutmeg and keep warm.
Remove duck breasts from the oven and keep warm. Drain fat, deglaze roast with wine and vinegar. Caramelise sugar in a hot pan until light. Add cherries, spices, salt and cayenne pepper and deglaze with wine and vinegar mixture.
Bring to the boil and add the remaining thyme twigs. Cut duck breasts into slices, arrange on plates with the spicy cherry sauce and spaetzle.