The Quarantine was a rouse. Planned by Kyoko to get Asuna & Indoa together in a hotel room. I guarantee it that there were plenty other rooms available for them both to have separate rooms.
If I was Fujino, that'd probably be the angle of excuse that I'd use to get Kyoko to be in the hotel with Asuna.
My main point though is that obviously Kyoko knows that Inoda wants Asuna and she was convinced by Inoda as a mistress to give him what he wants to increase his favorability of her. So following Inoda's plan which Inoda at first thought backfired when he listened in on the conversation between Kyoko, Asuna & Kirito in her office when she first appeared to have "softened" her stance against Asuna & Kirito dating, she used her superior skills in planning to come up with a convincing situation/ scenario -- it's not beneath or above RECT's ability to produce, manipulate & handle information, so the Quarantine was a cover up -- in fact there might've been an in-game reference "Real World" situation where there was a panic, so Kyoko intervenes and offers to handle it pulling some strings to orchestrate the Quarantine. The President of this foreign place in Africa is probably fine, no real reason to cause alarm, but by her insistance putting pressure on the situation, agreed to the Quarantine locking down the Hotel.
Kyoko has already proven to be manipulative and conniving, this much can be expect of her character in Fujino's SAO universe.