One possible theme could be about the contrast between the rudeness of this character and the values of the Naruto world. Naruto's world is often about friendship and respect, so a rude character might create conflict and exploration of how others react to that.
I'm not sure about a specific 'Miss Rude Naruto Fanfiction' off - hand. You could try searching on fanfiction websites like FanFiction.net or Archive of Our Own. They have a vast collection of Naruto fanfictions and you might find something related there.
One possible theme could be family conflict. A rude cousin can create a lot of tension within a family, leading to arguments, rivalries, and power struggles.
One possible theme could be the pursuit of knowledge. Since she's curious, she's always seeking to learn new things.
One possible theme could be self - transformation. Since it's related to Miss Clairol which is about hair products, changing one's hair color can be a form of self - expression and transformation.
One possible theme could be the corruption of power. Maybe Naruto, in this fanfiction, becomes corrupted by his own power and starts to murder those he once considered friends or allies.
One possible theme could be about Naruto characters exploring and respecting Muslim values and traditions. For example, Naruto himself could be shown learning about Islamic teachings on kindness and justice.
One possible theme could be self - discovery. As Naruto explores the world of dance, he learns more about himself, his strengths, and his creativity that he may not have fully realized during his ninja training.
One possible theme could be identity. Since the doll has no name, it might be about finding its identity or purpose. Another theme could be loneliness, as a nameless doll might be seen as an outcast.
If it's a mystery novel, one possible theme could be justice. The mystery getting busted might be about achieving justice in some way.
One possible theme could be self - discovery. If Lil Miss Rarity is the main character, she might be on a journey to find out who she really is.