I wouldn't worry too much about Kyouko, her intelligence and ability to adapt and accomplish things in a short amount of time will be very important in the near future! Though as for Chinatsu, considering her particular artistic 'talents' I don't imagine it would be particularly difficult to faze her, plus she's the only member of the Gorakubu who actually has a bit of experience with real Tea Ceremony, so she ought to have a decent composure. Though, frankly, none of that matters when you have tunnel vision for Yui-Senpai, I doubt she's even properly realised it's another world yet!
My biggest concern is if anyone remembers who the protagonist is...
Akkari~n