True she’s not really trying to get to know him only trying to convince him to marry her by giving him what he likes. Which wouldn’t make someone fall in love with u only condition them to feel happy when they see u because u bring them their favourite thing. So it feels like she doesn’t wants to get to know him/ doesn’t like him. But there’s more to the character than what the book has written about him
(I’m a little ahead because it’s at chapter 10 on webtoon, so I’ll try not to spoil) Dont forget that she doesn’t really have a chance to get to know him. Everytime she tries to talk to him, he shuts her down or dismisses her. She only gets to know him through the staff. She is also only able to talk to him because she gives him what he likes. There isn’t really much room to do more with him. But, I do agree that she’s stuck in a fantasy. I feel like things will go much smoother if she thinks of him as another person instead of a character she’s in love with in a book.

So I see some ppl hating on the MC which is completely valid I get where you may be coming from. The MC is just one of his fan girls and she loves him to the point that miss girl is willing to stay in the cold, ignored by him just to get closer to him. The MC remembers current things about the ML which is sweet but the MC should give the ML his privacy oc. I honestly see the MC as a reader, you see so many ppl taking about how they would act if they were put in a manhwa. So I can see alot of readers act similarly to what the MC is doing or much worse cuz some of you have no chill .