Shadow follows Charlynn down the hallway, looking into rooms to see where it is she went. The woman had obviously come here for a reason and Shadow wanted to know what it was. She had not read the note Charlynn had handed her earlier, nor did she feel the discussion needed to be had in front of others.
She intends to get the woman alone and find out what her motives are. Charlynn had mentioned Oracle White and a message for the Prince. Shadow would not allow Prince Clarke to see the woman until she was certain she had not been sent here for some ill-begotten plot.