On the whole, she's glad things turned out this way.
It would be incredibly rude to say so. They both know Carrie's going to die; the odds are bad enough out here even before you add in the disabling injury that disqualified her from her Scholomance slot. But between the two of them, if one had to die... better it be Carrie, who has much less hope of changing the world. She hasn't exactly broached the subject, but from the conversations they've had, the subtext and undertones, she suspects Carrie agrees with her.
She takes her bundle of letters for assorted Toronto enclavers and tucks them in her backpack and hugs Carrie goodbye and silently promises to look after her if they both live, unlikely though that may be, and then waits alone for her induction because even though Chris is not exactly uninformed she's still capable of disbelieving smaller mals to death and neither of them wants to find out if the same effect will stop the Scholomance from grabbing a student in front of her.