Kat shot up out of bed, mind still telling her she should be in great pain. Then the fact she was able to sit up without issue seemed to cause a record scratch for a moment as her mind revaluated what was going on. This was helped by a wave of reassurance that Lily was sending down the link, further calming Kat's mind down from the adrenaline charged battle mindset she'd just been botted out of. When her mind gave back the all clear, she took the time to actually take in where she was.
Lily was purring on Kat's lap, something Lily knew from research was supposed to be good for calming people down and a few other things besides. She was sending reassurance that Kat was alright while trying to convince herself of that fact.