It's not the sort of thing that one can do without catching Galadriel's attention- and her interest. She doesn't have all day to sit about and watch him work, of course, but she does seem to linger a little longer than necessary whenever she drops back by. Eventually, though, when she's finished with all her errands for the day, she returns to the flet for the day, settling herself in a common area.

When Severus moves toward the door in response (predictably, at this point), she calls after him.

"You needn't leave, you know. You have me rather intrigued, in fact."