Rojiura de Hirotta Onnanoko ga Bad End Go no Otome Game no Heroine datta Ken

“Hey, you'll catch a cold staying there like that.”

Ash Reeven, reincarnated into the world of an otome game, attends the Royal Magic Academy as a low-class nobleman. One day, he encounters Fienne Stout, the game's heroine, crouched in an alleyway, soaking wet in the rain. Hearing that she's facing expulsion after being branded a “villainess” by the academy's Four Knights and her friend Elise, Ash challenges them to a duel and rescues Fienne from rock bottom. Then she asks him, “Please let me stay with you as your housekeeper,” and so they begin living together... An isekai romantic comedy about rescuing a villainess from her bad ending.

(Source: Sneaker Bunko, translated)