Heh, you really are a little hopeless, aren't you? [She seems more amused by it than anything, though.] A "fan" can also mean someone who likes someone famous.

[That second attempt is closer to the mark, but Ema points to her mouth for a moment and makes a very exaggerated "v" sound to try and get it across.] "V", video, like this, see? And he'll find out you don't know the first thing about the cat. Wouldn't you get suspicious if someone who should know nothing about your famous cat just showed up to help one day?