You would need to keep the cat out of the are while you are spraying Tempo 20 WP, and until the product completely dries.
Tempo 20 WP was discontinued many years ago. We do have Tempo SC Ultra or Tempo Ultra WP which can be used in an around homes.
Tempo 20 WP has actually been discontinued by the manufacturer. As an alternative to that product you can use Martin’s Permethrin around horses and stalls.