I mean, it isn't the worst plan in history. There are a lot of negative implications like her looking like someone trying to overthrow her brother but again, not the worst idea. Its a character she's well aware of (if it follows the media's history and at least according to the protagonists' (her brother and his lover) POV of said media that the antagonist's motivation have no relation to his sex drive, then she might have a chance of nabbing someone straight but since then again, the original plot is a BL otome game and in which case, she has better chances with the younger Burn brother who owes her for not getting punished)