Well the man does only want her for sex. Consider the chapter where they ate together, he saw a smile of her he'd never seen before, but the first thing that came to his mind was sex. His sanctuary is the pleasure her body gives. My girl wants marriage while the man doesn't. Although I do agree her believing the rumor is kinda annoying, it is understandable though
Agree with you but both of them are actually annoying, him for pushing for a no strings relationship but wanting her to behave like she’s exclusively devoted to him and her for wanting more but for some unexplainable reason not confronting him about the direction she wants the relationship to take and instead going around complicated circles that lead to nowhere

Like why can't people every INVESTIGATE before jumping to absurd conclusions.
Hey chat were you the type of person in school who just believed a rumor once it was told to you? Did you actually go and be a detective to clearly up the misunderstanding?