If they are pale faced at this time of year, it can often indicate broodiness, but her symptoms sound more like an illness of some sort, or if she is an elderly hen, she could just be coming to the end. They will eat even while very ill, so don't set too much store by that.
I think she probably needs a visit to the vet tbh. They may not be able to do much for her, but you never know. If it is just an infection of some sort, antibiotics could help. If she is thin and pale and its been going on for a while, she needs either medical help, or help to end any suffering