Hauteur
Etymology
A direct borrowing from French hauteur, "height, loftiness," from haut, "high," which descends from Latin altus, "high" (the French spelling picked up an "h" under Germanic influence). The metaphor is bodily elevation turned into attitude: the person who stands, and looks, above everyone else. English keeps the French word to name that specific frosty grandeur.
noun · /oh-TUR/
Haughty, disdainful pride in manner — a cold air of superiority toward others.
What it names
The chilly loftiness of someone who carries themselves as though above the company they are in, looking down as a matter of habit.
Example
She surveyed the newcomers with a hauteur that made even confident people feel they had wandered in by mistake.
Related idea
Arrogance is overbearing self-assertion, pushing its claims on others; hauteur is cooler and more distant — superiority expressed as chilly reserve rather than bluster.