Score the duck breast skin in a diamond pattern with a sharp knife, being careful not to cut into the flesh. Season generously with salt and pepper, then gently rub the rosemary into the skin.
Place the duck breasts, skin-side down, in a cold skillet over medium heat. Cook for 6-8 minutes, until the skin is crispy and golden brown, and much of the fat has rendered.
Flip the duck breasts and cook for another 3-4 minutes. Transfer to a preheated oven at 350°F (180°C) for 8-10 minutes, or until the internal temperature reaches your desired level of doneness (medium-rare is recommended).
While the duck is roasting, prepare the apple purée. Peel, core, and dice the apples into small cubes.
Melt the butter in a saucepan over medium heat. Add the diced apples and sauté for a few minutes until slightly softened. Pour in the white wine and add the honey. Reduce the heat to low and simmer for 10 minutes, or until the apples are completely tender.
Use an immersion blender to purée the cooked apples until smooth and silky.
Remove the duck breasts from the oven and let them rest for 5 minutes before slicing, allowing the juices to redistribute.
Slice the duck breast thinly and serve with the apple purée. Garnish with a sprig of rosemary or a drizzle of extra honey, if desired.
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