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Nineteen words hold M second and E third, and two near identical pairs sit inside the group.
OMEGA, AMEND, SMELL and SMEAR are the entries in general use, with SMELT and OMENS close behind. EMERY is familiar from the nail board.
To AMEND is to correct or improve anything. To EMEND is narrower and means to correct a text, usually a manuscript. Editors keep the distinction and most other writers do not know it exists.
Both are transliterations of the Arabic title usually written emir. They differ in the first box and mean exactly the same thing, which makes them a pure coin flip in a puzzle.
A opens six of the nineteen and S opens six, with E on four and O on three. Only four letters appear in that box at all.
N takes the fourth box in six of the nineteen, giving AMEND, EMEND, AMENS, AMENT and OMENS. It is the one letter that genuinely shapes this group.
OMEGA tests the O and G, which almost nothing else here uses. AMEND sits in the crowded N branch and rules out less.
A catkin, the drooping flower spike on trees like willow and birch. It has nothing to do with AMEND despite the spelling.
Smoke, in Scots and northern English. SMEW, a small duck, gives SMEWS which also appears here.
It is a hard mineral used as an abrasive, which is where emery boards get their name. It is the most familiar of the E openers.