. The film is set in an alternate-history Edo-period Japan where a mysterious plague, the "red-faced pox," has decimated the male population, leading to a complete reversal of gender roles. 百度百科 Core Premise & Plot

Her men, a diverse group of seasoned warriors, were initially hesitant but soon grew to admire and respect her leadership. There was Kaito, her closest advisor and a master strategist; Taro, a young but fiercely loyal samurai; and Hiro, a veteran fighter with unmatched skill.

No mainstream film from 2010 bears this exact name. However:

If we accept Ōoku as the intended film:

No film titled The Lady Shogun and Her Men exists in major databases (IMDb, Letterboxd, JMDB) for 2010. But several 2010 Japanese films feature female warriors or rulers: