Traveling Exotic Animal and Public Safety Protection Act This bill amends the Animal Welfare Act to establish a prohibition on the use of exotic or wild animals in performances (e.g., circus, ride, carnival, or parade) of a traveling animal act. The prohibition does not apply to the use of animals in: (1) zoos; (2) aquariums; (3) research facilities; (4) film, television, or advertising, if the performance is not before a public studio audience; or (5) rodeos. The prohibition also does not apply to domestic animals or farm animals.