Kaguya most likely does not have the Rinnegan. Remember that her Sharingan has 9 tomoe due to the fact that she ate the Shinju's fruit. The Rinnegan, it surfaced in Hagoromo and possibly his brother as well. Also, Hagoromo may have left the tablet for Indra and his descendants. But what if one of Asura's descendants read it? Sasuke did let Karin into the secret Uchiha room at the Naka Shrine in Chapter 618.

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