Maybe you're from before she was born...? Is this some weird time travel stuff!? Why can't anything be simple... [Who's the one who should be saying that here!?

Thankfully his question is a distraction and she nods proudly. Despite everything, she's very proud to be his daughter and descendant of the Shinsengumi, carrying on their name.] Mm-hm! Okita Souji is my father. I'm Okita Kaoru. Kondou Yuko-san is Kondou Isami-san's daughter; we inherited the Shinsengumi from you--them? ...You?

[Well "inherited"... Brought it back into the limelight? Same thing.]