HYUGA (OFF):“...it’s still within acceptable limits.”
Kendrix: The way she's holding the glasses, which have been shown to be a source of security to her, might suggest that she is unsure about something. I would even say that she appears to be a little worried.
She can't already have been ordered to inform him about the schedule since the NERV people haven't thought it up yet. Her only reasons real reason for staying by Shinji seem to be worry and/or curiosity(See #05 298).