Futari wa Karitomo

Chie Suzuki, who gave up on making friends in elementary school and lived her school life as a solitary, cool beauty immersed in her own world, is currently worried about her character overlapping with Sato, the "Ice Prince" who is handsome, academically excellent, but maintains an expressionless and aloof demeanor. To be honest, she finds him annoying—but one day, Sato asks her, "Will you be my friend?" Sato's true nature is that of a pure boy who simply can't fit in with those around him and can't make friends! Suzuki, who believes that you need special abilities to be "friends," initially refuses Sato's request, but then he suggests, "How about we try being friends [temporarily], since we don't really know each other?"

(Source: Shueisha, translated)