also shut-out, 1889 in baseball sense, from verbal phrase shut out "exclude from a situation" (late 14c.; from 1881 in the sports score sense), from shut (v.) + out (adv.). Middle English had a verb outshut "to shut out, exclude," mid-15c.
shut up
shutdown
shute
shut-eye
shut-in
shutout
shutter
shutter-bug
shuttle
shuttlecock
shy