Board Thread:Boruto: Naruto the Movie/@comment-26010916-20150806143152/@comment-24949460-20150807165324

Elveonora wrote: If Hinata's were pure, he would have taken hers instead of Hanabi's.

Did you forget that he planned to MARRY Hinata lol. Some people forget the tiniest of details

Also, remember that Hinata watched as Toneri went through a painful process to get the Tenseigan. Plus we never see her using Hamura's chakra with her Byakugan. She used her normal chakra like how Naruto used his normal Rasengan the first time he used it.

So as far as I can tell she can still awaken it but choose not to at the time.