Peevishness, n.
The quality of being peevish; disposition to murmur; sourness of temper.
Syn. -- See Petulance.
Shades of meaning
Fernald has no entry of its own for peevishness; he lists it under anger.
Where he writes about it:
Impatience, fretfulness, irritation, peevishness, pettishness, petulance, and vexation express the slighter forms of anger. — from anger
Fretfulness, pettishness, and peevishness are chronic states finding in any petty matter an occasion for their exercise. — from anger