You searched for: “ailuromancy
Divination as determined by the way a cat jumps or moves: "Ailuromancy can involve a black cat crossing in front of someone as a bad omen in the U.S. and Germany, although it is considered fortunate in Britain. Owning a black cat is also considered to be a good divination."

"It is a widespread belief that killing or mistreating a cat will bring ill fortune, probably from ancient religious beliefs that cats were sacred animals."