Animal fats and oils are lipid materials derived from animals. Although many animal parts and secretions may yield oil, in commercial practice, oil is extracted primarily from rendered tissue fats obtained from livestock animals like pigs, chickens and cows (Wikipedia, nd).
Although uncommon, it is possible for someone to have an allergic reaction to various animal fats. If an allergic reaction occurs, contact your allergist.
Animal fats are commonly consumed as part of a western diet in their semi-solid form as either milk, butter, lard, schmaltz, and dripping or more commonly as filler in factory produced meat, pet food and fast-food products (Wikipedia, nd).