"to soil with soot or mud, to sully," now usually figurative, 1590s, from be- + smirch.
Our Gayness and our Gilt are all besmyrcht. ["Henry V," IV.iii.110]
Related: Besmirched; besmirching.
beshrew
beside
besides
besiege
besmear
besmirch
besom
besot
besotted
besought
bespangle