As nouns the difference between counter and enumerator
is that counter
is an object (now especially a small disc) used in counting or keeping count, or as a marker in games, etc or counter
can be (nautical) the overhanging stern of a vessel above the waterline or counter
can be (obsolete) an encounter while enumerator
is a person who, or a thing that enumerates; a counter or iterator.
As an adverb counter
is contrary, in opposition; in an opposite direction or counter
can be in opposition; in an opposite direction; contrariwise.
As a verb counter
is to contradict, oppose.
As an adjective counter
is contrary; opposite; contrasted; opposed; adverse; antagonistic.