To be more historically accurate...

The naginata were clearly associated with the Sohei which were Buddhist monks that migrated to Japan.
Source: https://en.m.wikipedia.org/wiki/Sōhei

We got a female option in the shinobi because kunoichi(female ninjas) did exist in those days. However, a warrior nun wielding the naginata may have existed but a warrior monk (male) wielding the naginata definitely is a historical fact. So we should get a male option for Nobushi please.