we have 2DYH and 6 cats.unless your cat shows signs of wanting to kill the bird i wouldnt worry,just dont leave bird out while your not at home.
cracker our female dyh has no fear of the cats and will bite them when shes out playing or if a tail or paw hangs to close to her!you her cage has a playtop to one side and the get up there to sleep.
pokey our dyh male is affraid of them and will scream at them if they try to get on his cage.
none of our cats want anything to do with a bird of that size!