Haughty
Etymology
An extension of the older English adjective "haught," from French haut, "high," which descends from Latin altus, "high, tall." The metaphor is literal elevation: to be haughty is to hold oneself high above others. English added the -y ending, but the core image of loftiness turned into disdain remains.
adjective · /HAW-tee/
Arrogantly superior and disdainful of those regarded as beneath one.
What it names
The looking-down-the-nose coldness of someone who wears their sense of superiority openly.
Example
The clerk gave the shabby customer a haughty glance and turned pointedly to serve someone else.
Related idea
Arrogant claims more than one is due; haughty adds visible contempt — arrogance that looks down on others as inferior.