From what I can remember, the fl wanted to take her family name and basically be the heir but to do that she needed to be married. I believe it was hard for her to find someone so she goes to this group thing where you just list down your type and shit and they find the suitable potential person you like. The dude she met was the leader(and the ml). The ml found her interesting so he also gave his info among the other men on the lists. The fl wants a dude who is baron and she doesn't care if he's a gold digger, she only wants a contract and temporarily marriage. The ml was a baron before, but I believe he got promoted or he got this title for his achievements. The fl chooses him and the love story begins.
ohhh i think i know what story this is now, ty! :D
i completely forgot the plot