proposes it to be from L. ustulare "to scorch, singe" (from ustus, pp. of urere "to burn") and altered by influence of Germanic "burn" words beginning in br-. Related: Broiled; broiling.
"quarrel," c.1400, from Anglo-Fr. broiller "mix up, confuse," O.Fr. brooillier "to mix, mingle," figuratively "to have sexual intercourse" (13c., Mod.Fr. brouiller), perhaps from breu, bro "stock, broth, brew," from Frankish or another Gmc. source (cf. O.H.G. brod "broth") akin to
); also compare imbroglio