My Girlfriend's So Much Cooler Than I Am

Yu, an ordinary young man who is terribly awkward around women but longs to "love someone with all his heart," is taken home by a handsome man at a matchmaking party one day! But that handsome man turns out to be a woman!? And yet, he ends up crying out in pleasure!? And she demands to take responsibility!? Suddenly, he finds himself being doted on 24 hours a day, 365 days a year by his incredibly handsome girlfriend! The doting romantic comedy between a handsome woman and an ordinary man begins!

(Source: Square Enix, translated)