“I’ll tell you a family secret,” she whispered enthusiastically. “It’s about the butler’s nose. Do you want to hear about the butler’s nose?”
It seems like Daisy has heard enough about the Nordic race for one night, and is eager to have a chance to gossip. Her story about the butler’s nose seems random, though the fear of losing one’s position is one of the major themes of the novel.
Also, it is very possible that this was just a made up story. In Chapter 5, Nick mentions the butler’s nose again and Daisy is completely confused. Maybe she is just making something up to escape the uncomfortable truth that Tom is talking to his mistress in the other room.
It should also be mentioned that silver polish emits fumes, which this butler inhaled through his nose, and it must have affected him mentally and caused him to lose his job. This little anecdote of Daisy’s, which she offers as a sort of joke, also displays a lack of consideration for the underclasses.
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