In my honest opinion the girl was pushed by the cousin, so this is why she didn’t go to their house after the accident.
If the crown prince needed someone to perk up the fashion, why not just hire her??? Or ask her to be a teacher so that they can have many high end tailors… I don’t see the need for him to marry her, even if the tradition states that you marry someone that brings you good gloves… rich people can just hire someone to make the gloves ╮(￣▽￣)╭
Like an entire forest worth of greens! If it was a usual yaoi there would be so much more misunderstanding and physical damage and angst! Consent is always 100% given!