This is kinda ridiculous, "heroine" can just blurt that out in front of many people and the accused herself, and the people just gossip in front of the rose princess? First of all its baseless, secondly our MC is rather high ranked, considering the strict hierarchy of nobles, i don't think everyone would gossip openly like that. FL can actually openly accuse her of slander.
Also, its weird that Lutier is openly breaking character by speaking ill of her 2nd time already. She's basically exposing herself as a two faced bitch and no one is suspicious of her??