The doctors know that he is best with her, and when not actively engaged about him, stand aloof.
During this dialogue Mr. Tulkinghorn has stood aloof by the old portmanteau, with his hands behind him, equally removed, to all appearance, from all three kinds of interest exhibited near the bed—from the young surgeon’s professional interest in death, noticeable as being quite apart from his remarks on the deceased as an individual; from the old man’s unction; and the little crazy woman’s awe.
Though in general he highly appreciates the society of Mrs. Bucket—a lady of a natural detective genius, which if it had been improved by professional exercise, might have done great things, but which has paused at the level of a clever amateur—he holds himself aloof from that dear solace.
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People who don’t know her, think she is aloof from the rest of the team, but she is just focused on the game.
She focuses on her work and is aloof from office politics.