In a blender or jar that can hold an immersion blender, add the apple cider vinegar, honey, Dijon, celery seed, sea salt, and black pepper. Blend. With the mixer on low, stream in the oil. Blend until light, creamy, and emulsified.
In a large bowl, add the slaw mix, carrots, shallots, and apples. Pour over the honey Dijon vinaigrette and toss/mix to coat evenly. Cover and chill for 1 hour. Mix again before serving.