Kylo senses Rey and has her brought in, check! And proceeds to have Rey handcuffed. Not foreseen, but makes sense. Sort of.

Kylo probably wouldn't be able to just direct stormtroopers around as he likes with Snoke still in charge. So for now, pretending to have captured Rey makes sense. At least, I'm assuming that Rey won't simply just jump out of the escape pod and start attacking. If Pete thought he could win by doing that, he totally would. But movie-Rey doesn't seem to have been that level of recklessness; she's done some ill-advised things like climbing into that wall coffin, but that could be argued as just finding a hiding spot to stay alive.

So will Snoke be attacked and dethroned to make it safer for Rey to wander around the Finalizer free? Maybe. I think it's maybe a little more likely that the Raddus flying into the Finalizer as an ablative dropship causes a chain reaction that sets Rey loose. It'd be weird for Rey to have defected and then immediately changed sides again, but it probably makes a little bit more sense in the movie. Something like Kylo telling Rey on the Force Phonecall that he'd be able to let the Resistance escape if she turns herself in, perhaps.