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He does not dance with her.
"He especially offends Elizabeth when she overhears him refusing Bingley's suggestion that he dance with her."
He not only snubs her; he insults her.....
When both Darcy and Elizabeth are sitting out a dance and Bingley attempts to persuade him to dance with her, Elizabeth overhears Darcy's reply "She is tolerable; but not handsome enough to tempt me."