This is a rather odd one.
Rorschachkit suffers from a severe case of anterograde amnesia, which makes it nigh-impossible for her to form new memories. As a result, she forgets people's names, what she had for breakfast, what she was planning to do today, etc. So making friendships or any sort of lasting bonds with her would be extremely difficult (although not necessarily impossible).
Her hat is basically like a security blanket for her- "it helps me relax," she says when asked. She's had it almost since she was born.
She's closed to being maimed, captured, or killed (or inflicting the same on others- she's just a kit), but almost anything else can probably be considered (or attempted).