It would not bother me. I don't have urges to give therapists things. I don't like such presents foisted upon me. Do I have to have something I don't like and did not ask for or want in my house or office? I don't believe one need treasure something just because it was handed to you and even if it was treasured at some point, it does not have to be forever. I think it better simply not to give therapists anything. But if I did give something to a therapist I would expect them to place it in a file or throw it away after I left. I would be more alarmed if they treated it like a small child's drawings that hangs on the refrigerator