Aww, congratulations on your new family member, he's gorgeous!
In 18 years of joint parrot and cat ownership the only issue I have had is with my Amazon taking a chunk out of the cats ear! Small birds such as budgies, cockatiels and conures would be a constant worry, but once a med or large parrot has lunged at a cat, only the stupidest cat would try again... Although they are prey in the wild, bigger parrots do not smell like, act like, or move like true prey birds to a cat (compare a pigeon and African Grey- similar size but totally different behavior) and they quickly learn the pointy end is not much fun...
My older cat will not be in the same room as an uncaged parrot. My younger (very thick) cat who refuses to grow up loves to follow my macaws swishy tail feathers but soon backs off when he turns round!!
Mishka will soon show him who's boss