I know a lot of people are worried, but this bird can easily attack and the screams they make when they do are horrendous! The bird may has obviously been around cats before as the mama seem to have no issue near it.
"These colorful creatures boast impressively sized and patterned plumage that they fan out for display purposes. It isn't an act of vanity, though -- peacocks fan out their feathers as part of a courtship ritual to attract a mate." So at no point was the peacock trying to puff himself up and frighten the kitten as a fighting response.
People would probably say she was abusing her pets!? What's most important... they all love each other. None of them have ever attempted to hurt the others.