Basically Natsume gets invited to this house by Natori because the deceased owner had done a lot of research on youkai. Some other things happen first (Natsume speaks to the granddaughter of the owner, Natori speaks to the old exorcist woman)… and the chapter ends with a youkai confronting Natsume over the Yuujinchou (the usual stuff over how he smells like Reiko etc.).
The youkai wants to kill Natsume, but luckily Natori and Nyanko-sensei are nearby, so Natsume is out of danger. Natsume wonders if Natori heard the conversation (because he has never told anyone about the Yuujinchou before), to which Natori says that he’ll pretend that he never heard anything.
However, Natsume asks Natori if he’s willing to listen to him after this incident is resolved, thus ending the chapter.
…which means that Natsume is going to finally to tell Natori about the Yuujinchou. I can’t wait for it, but too bad that Natsume Yuujinchou serialisation is now bi-monthly instead of monthly so we’ll have to wait until end March to see what happens.