People who use air get rewarded for using it and aren't likely to choose anything else. She is probably teaching about the whole air movement to her classes. Duff is on air, so you can't fault her for choosing you via air.
Edited to add: I did a little research, the room offered on Air is $175 the room on the website booking direct is $225. I would book on Air as well.
For the innkeeper I would also like to add the listing on Air looks nicer than the website. The images are bright and cheery, the website has a blend of those and darker images. The main image on Air is lovely, the main image on the website is not inviting. (Please don't take offense to this, I am trying to help).