Kitty is wondering why the cockatoo was trying to pick his nose!
I think the cockatoo was being so thoughtful to touch the kitty with his foot so carefully. Cats like to sniff their owners/friends/cockatoo buddies as a form of friendliness, and the cockatoo was giving Kitty a chance for a wonderful sniff. After Kitty had a chance to calm down after this rather jumpy unexpected-encounter, Kitty gave Cockatoo a very gentle feather pat to show all was O.K.
Oh gosh I'm gunna be one of those guys and have to say that I can't stand to see inter-species interactions like this! They make me so nervous. So much can go wrong in such a short space of time. When my Alexandrine, Kona, escaped she managed to get caught and scratched by a cat. Once somebody reached out to me to say they'd found her I got her straight to the vet and had to treat her with antibiotics to make sure that she hadn't contracted anything from the cat (pastuerella etc). I'm really vigilant with it. I don't like mixing predator/prey at all. It's really cute to see but eep!
On the other hand, the very cute kitty is I believe an American curl going off those ears. They're gorgeous We have a domestic semi-long hair moggy type thing who's got to be about 12ish or so now. I would like to have a 'pure' kitty one day but somehow animals tend to find their way to me when I don't necessarily look for them. Mine was advertised free to good home on a selling site and she looked JUST like my childhood cat. I thought that must be a sign