Kylo doesn't exactly object or reject her gift, but he does peer down at the offered beverage warily before returning his somewhat unsettling stare right back to Julie's face. He's holding the cup, which is more than enough of a concession in his definitely always correct opinion.

"And how did you get yourself confined in solitary?"

Somehow, even with the strangely flat delivery, there's just enough of an emphasis on the you to suggest Kylo finds it difficult to believe Julie could earn herself such treatment.