Well, if you are sure this isn't dander, then it could be mites, fleas, sunburn or sensitivity to something new in the house, like new carpet, or new odor eliminating spray. Anything new in the house that you recall?
Usually, winter is a season when many places become extremely dry. What are the humidity levels in your place? If your hands feel very dry, then your cat might be experiencing this as well.
Check her for parasites, fleas, mites etc. Is she indoors or outdoors?