Yuka is Koutas cousin who will be attending the same university as him. She moves into his inn after not seeing him in a while. Despite having had feelings for him since childhood, she becomes jealous of Koutas attention towards Nyū and behaves irrationally due to her love for him. This information can be found on Wikipedia about the anime.
After the incident of capturing Lucy. It was shown that they lived back again to their inn, living their normal lives.
It was heavily implied that Yuka married Kouta since Koutas daughter looked exactly like her.