PETA's pet peeve is the use of FUR, which is why their crossword solution for PET PEEVE FOR PETA is FUR. PETA stands for People for the Ethical Treatment of Animals and is an animal rights organization that campaigns against the use of animals for food, clothing, entertainment, and other purposes. FUR is a material made from the skin of animals, usually obtained through hunting or trapping, and PETA believes that it is cruel and unnecessary to use FUR in fashion.