My ice flower (Gaara love story)

An adoptive daughter of the Shikaku Nara, her mother in the Nara clan abandoned her. She has a kekkei genkai that isn't of the leaf village. Meeting Gaara was the best thing that ever happened. Well it may not seem like it but who knows.

It does involve itachi intimately but it is a Gaara love story at the end it just involves itachi as well.
Fair warning because I've had complaints about it being with itachi