There is a scene in Ruch Hour 3 where Genevieve is in bed with Carter.
Later on because Lee startles them and the assassin enters the room it ends up turning into this:
However prior to actually being startled Genevieve was already reaching for her gun. What was her motives? Was she planning to kill Carter? If so then why does she stick around afterwards. If she didn't want to be around Lee and Carter she could've left after this incident.