Am I doing this right...I want to participate! Shijima might not bother at first, but she'll be interested to go and observe, and then when they're hunting something she'll actually probably give it a go...although she'd hunt on foot with her "claws". She may slip into her cat form at times, though. She doesn't know anyone well enough to really be part of a group, but she'll probably nebulously observe everyone who goes more than she will participate on the whole.

edit: For later on in the month, she does actually understand animals by virtue of being one so she will probably notice the king of birds thing, although her general reaction will be "whatever".