Blue line's Things

i am trying to remember the name of the manhwa or the characters but I can't and I'm hoping someone else can. the plot is that the fl gets isekaied into a novel and her dad's the emperor but actually she's not his daughter by blood and her blood related dad is the archmage of the magic tower. the emperor's blood related daughter comes back and the fl runs away to the archmage who doesn't take her sudden visit very kindly. i don't remember the rest of the plot can someone please help me find this manhwa