"I am not," Strange says, with a little shake of his head. There's a moment before he asks, "Is it one of the realms of Faerie? There is a distinct chance I might visit it, if so."

The Clockwork City of Goug certainly sounds like something a fairy might decide to name their realm. Strange knows that they can be capricious, focusing on small details or certain parts of an aesthetic at the expense of things like 'a functioning government' or 'a healthy level of obsession.'

And aside from that...well, this man has cat ears and a tail. Those certainly seem fairy, even if this conversation is going too smoothly for Strange to think he's actually a fairy.