Kamisama Kiss Volume Six is a manga by Julietta Suzuki, and it was published in North America by Viz Media’s Shojo Beat imprint in 2011. The series is rated “T” for teens; from what I’ve read of the series so far, I would agree with this rating.
A high school student named Nanami Momozono becomes homeless after her father suddenly leaves to get out of his paying his gambling debts. After being kicked out of her home, Nanami meets a man who turns out to be the land god. He kisses Nanami on the forehead and gives her the power of a kami. Nanami becomes the new god at the land god’s shrine. A fox demon named Tomoe serves as Nanami’s familiar, and the two are in a contract that Tomoe is unable to break.
At the beginning of Volume Six, we learn the identity of the new character who tested Nanami during Volume Five. His name is Otohikogami; he’s a wind kami and a friend of the previous land god. It turns out that he arrives at the shrine to deliver an invitation to Nanami for a week-long conference of kami in October. He says the higher-ups have been arguing about whether Nanami should be invited, or if another human kami might be a better choice.
At first, Nanami has no interest in going. However, after Nanami meets the other human kami candidate and is insulted by her, Nanami is determined to be chosen. Otohikogami arrives and gives both candidates shikigami eggs; they suck energy from their owners in order to grow. The kami who can raise a beautiful shikigami that is Otohikogami’s type will be the one invited to the conference.
This volume introduces another new character, which is Nanami’s shikigami. I don’t want to say anything more about the shikigami, because I don’t want to provide any spoilers. All I will say is that Tomoe doesn’t seem to like Nanami’s shikigami.