How old is she? Is there a rooster? Have you checked her skin under the vent and elsewhere for lice or mites? She has some broke off feathers. Do you notice others breaking off and eating her feathers? Have you seen dropped feathers around the coop and run? I would try to figure out what is happening. You can buy BluKote spray that can cover the red spots (apply every 3 days,) but I would try to find out if this is another hen pecking her feathers or if she has mites or something else. Spend some time observing them while they are hanging out, sitting on the roost, etc.