It's hard to say if the Byakugan was indeed the natural eye of Kaguya. I believe that is the case, or I just really like the idea of it. Gaining all three eyes from eating the fruit just seems a little stale. She will be such a great and dynamic character with her original eyes being the byakugan.
The possible pairing Naruto-Hinata is still possible.
I mean, even Tsunade who has blood of Senju and Uzumaki, is in the series... and I still don't know about an Uzumaki with these jugs. I wonder if the jugs are from the Senju or somewhere else (the non-known parents of Tsunade).