And of course Youtube would put a video of Kuroko against Awaki as a suggestion in it.

I think you may have gotten confused by the animations error of having her stay in that one frame for too long. See, what Aoi is doing in the manga panel is teleporting in and teleporting back out in a matter of seconds. Aoi doesn't float, she controls her trajectory through her teleportation. This is makes it seem like she's floating in manga panels, but its more like a very controlled free fall. The thing is, like sometimes readers get confused, so do animators and that's what happened with that instance of her "floating" in the anime. If she could really fly, you would be able to see her do it very consistently, but most of the time she's either on the ground or teleport spamming is Kaoru isn't around to help her fly. Notably, Kaoru who can fly is almost never on the ground during confrontations because that's her ability, Aoi, however, never does that unless its her teleporting into the sky and using that teleportation to stay in the air.

She's not going to be very stealthy in the current situation she's in... So if Scaramouche and/or Shurelia is keeping a good eye around they would very likely find out that she's there... Truthfully I'd expect Shurelia to find her because of her current state of near paranoia...

<Snipped quote by ACHTUNG>

Well, at least she avoided the two groups that would more or less instantly detect someone sneaking around. Ana's got to be that good to survive... and Mikoto has radar. xD

<Snipped quote by Raineh Daze>

It's also the one group where only one person in it is heavily armed and theoretically dangerous when not fighting Samurais

To make matters worse, the place is dynamic- ever growing and changing. Every day (and sometimes not even that), new locales and characters are shunted in this place to stir up even more trouble.