Quarrel
Middle English (in the sense ‘reason for disagreement with a person’): from Old French querele, from Latin querel(l)a ‘complaint’, from queri ‘complain’.
wiktionary
From Middle English querele(“altercation, dispute; argument, debate; armed combat; trial by combat; basis for dispute, complaint; claim, legal suit; a lament; illness”)[and other forms], [1] from Anglo-Norman querele[and other forms] and Middle French querele, querelle(“altercation, dispute; basis for dispute; side in a dispute; complaint; accusation; legal suit; lament; problem”) (modern French querelle), and from their etymonLatin querēla, querella(“dispute; argument; complaint, grievance; legal complaint; lament; illness”), from querī + -ēla, -ella( suffix forming nouns). [2]Querī is the present active infinitive of queror(“to complain; to bewail, lament; to be indignant”), from Proto-Indo-European *ḱwes-(“to puff; to sigh”).
The word had replaced Old English sacan(“basis for dispute”) by 1340.
From Middle English querelen(“to dispute, quarrel; to assert one's claims; to rebel”)[and other forms], from querele(noun); [3] see etymology 1. Compare Anglo-Norman, Middle French, and Old French quereler, quereller(“to argue with, dispute; to criticize; to bring a legal suit”) (modern French quereller(“to quarrel, squabble”)). [4]
From Middle English quarrel(“bolt for an arbalest, crossbow, or siege engine; (figurative) seductive glance, temptation to sin; needle (possibly one square in cross-section); small (perhaps square-shaped) opening in window tracery; a cushion (perhaps square-shaped)”)[and other forms], [5] from Anglo-Norman quarel, quarele, quarrel, Middle French quarrel, and Old French quarel, quarrel, carrel(“crossbow bolt; floor tile or paving stone (rectangular- or square-shaped); small glass pane for windows”) (modern French carreau(“crossbow bolt; a tile; windowpane; a square”)), from Late Latin quarellus, quadrellus(“crossbow bolt; paving stone; a tile”), from Latin quadrum(“a square; square section; regular shape or form”) + -ellus (variant of -ulus( suffix forming diminutive nouns, indicating small size or youth)). [6]Quadrum is ultimately derived from quattuor(“four”), from Proto-Indo-European *kʷetwóres(“four”).
etymonline
quarrel (n.1)
[angry dispute] mid-14c., querele, "dispute, altercation," also "ground for complaint," from Old French querele "matter, concern, business; dispute, controversy" (Modern French querelle) and directly from Latin querella "complaint, accusation; lamentation," from queri "to complain, lament," from Proto-Italic *kwese-, of uncertain etymology, perhaps, via the notion of "to sigh," from a PIE root *kues- "to hiss" (source also of Sanskrit svasiti "to hiss, snort"), which is not very compelling, but no better etymology has been offered.
In Middle English also of armed combat. Old English had sacan. Sense of "angry contention between persons" is from 1570s.
A quarrel is a matter of ill feeling and hard words in view of supposed wrong : it stops just short of blows; any use beyond this is now figurative. [Century Dictionary, 1897]
quarrel (n.2)
"short, heavy, square-headed, four-edged bolt or arrow for a crossbow," mid-13c., from Old French quarel, carrel "bolt, arrow," from Vulgar Latin *quadrellus, diminutive of Late Latin quadrus (adj.) "square," related to quattuor "four" (from PIE root *kwetwer- "four"). Now-archaic sense of "square or diamond-shaped plane of glass" is recorded from mid-15c., from Medieval Latin quadrellus "a square tile."
quarrel (v.)
late 14c., querelen, "to raise an objection, dispute; rebel;" 1520s as "to contend violently, dispute angrily, fall out," from quarrel (n.1) and in part from Old French quereler (Modern French quereller). Related: Quarrelled; quarrelling.
