Of course, since this story was too good to be true, the higher ups from all three powers decided to prepare even in case of a trap.
For that reason, despite their original intentions to only send experts to deal with the Queen and prepare an army for the next attack, they still send about 200 experts more each.
Of course, they would have wanted to send a fully equipped army if they could but they wouldn't be able to catch up.
Since she didn't want to attract much attention, the Queen was most probably using a small team comprised of experts, as they intended to be swift.
For that reason, the three powers could only try to send as many experts as they could, before thinking of another great solution.
Making use of a borrowed or purchased knife, and for that reason they decided to 'buy' as many experts as they could from the Heavenly Sky.