Given that it looks unlikely Kitten will do the honourable thing and fall on her sword, the next best scenario for me would go like this........................She again falls asleep on the sofa, BB waits until all the other housemates are also asleep, lock the bedroom door and send in security to remove her in the early hours.
She has no luggage in there to pack, no suitcase to collect so a silent and clinical removal is possible.
The other Hm's wake up in the morning to no Kitten !
What they do with her after that is up to BB.

Producers will never get rid of her this early but I do wish she would go. Even hearing her voice is getting on my nerves.