nose in the air, have one's - Phrases/Idioms
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 2003, 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Be haughty or disdainful, as in Ever since we moved in, our next-door neighbor has had her nose in the air. The related phrase with one's nose in the air means “haughtily,” as in She thinks she's so smart; she's always walking around with her nose in the air. Also see turn up one's nose at.