As nouns the difference between counter and courter
is that
counter is an object (now especially a small disc) used in counting or keeping count, or as a marker in games, etc while
courter is one who courts; one who plays the lover, or solicits in marriage.
As an adverb counter
is contrary, in opposition; in an opposite direction.
As a verb counter
is to contradict, oppose.
As an adjective counter
is contrary; opposite; contrasted; opposed; adverse; antagonistic.