Kira seems to know who Hinako really is, and wants her to give up her conquest of the school. It seems the only way for her to convince him otherwise is to fight him... and win.
This might sound selfish...
...قد يبدو ذلك أنانيّة
Das mag egoistisch klingen,
Esto sonará patético, 
pero si Hikaru fuera ella,
Esto puede ser patético,
pero si Hikaru era ella,
C’était égoïste, mais je me disais
que si c’était bien elle,
E lo so che è da egoisti pensarlo...
Pode parecer egoísta...
Лелеял надежду...