When he meets an exchange literature student, a shy politics nerd joins the university theater group together with her to win her heart before she leaves one month later.
If he knows she’s going to leave, then why try to win her heart? I’m not familiar with all the details of exchange students, but has she been there a while or has she just arrived? Just asking because it seems unlikely she would only stay for a month. But anyway, wouldn’t a better goal be to get her to stay, or something?
Anyway, to me, this logline is missing a strong hook. How many stories, non-romance included, have some guy who has to put himself in a strange situation and then he learns the lesson and changes and so he can get the girl? What makes your unique?