Ok, going through that... Calling someone else beautiful isn't quite the admission of fondness you may think it is. And really, it doesn't change much. She was set on her course from the start, and assumed stuff about him. Is she right? Perhaps, perhaps not, but considering the story, she'll most likely be, on some level. Though, this being an otome game manga... Isn't it a staple for the game's story to either not matter at all, or be wildly different (butterfly effect and all) from what the MC remembers?
Lest we forget, Slayer is, at the moment, an unreliable narrator, her worldview warped by her goal to survive a story she thinks she knows by heart.