The idea isn't super fleshed out but it boils now to. Arya ends up in the Naruto verse and is raised by Sakura (and Sauske... when he's around? I guess) alongside Sarada then around the events of pre season one. They discover a way to travel back and forth. Naruto wants Arya to try to help jump start a connection between them and the Seven Kingdoms via her parents. Maybe host Arya's Chunin Exams In King's Landing? Would focus a lot on human rights, tech, trade. The Starks and the wider effects of the current era. Naruto finding Dany early on and offering her a chance at a better life. Taking her under his protection. Offering woman the ability to be refuges due to human rights violations? So my few questions.

(Early Boruto Era Naruto. Morals are not changed so Naruto using force would be a last resort?

How does Robert handle it the existent of another world?
What is a good chakra nature for Arya to use? A sword and wolf summon for sure. But maybe lightning?
Would Sansa be jealous of Sarada? Cat of Sakura? I really can't figure this one out?
Would Robert be insane enough to risk war over Naruto sticking his neck out for Dany?
How do you think the other Lord and Ladies react? Even more so how to woman react the idea of equal rights? A chance to leave and have a freer life?
Lastly. Should Arya's teammates and masters be OC's or allegories? Like a shapeshifting Sensei, A boy with a hammer and so on?