Clergymen are men of the clergy, as in church men, and it's not a legal term.
Clergymen
for formal and informal situations
He addressed it to the 8 white clergyman. Specifically, he wrote "My Dear Fellow Clergymen."
vicars
To be all inclusive
Methodists call their clergymen ministers, instead of priests.
Latins, Romans, and clergymen from the Roman Catholic Church.
Orthodox clergymen, who were deeply skeptical of the emotionalism and the theatrical antics of the revivalists.
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No, the plural noun 'clergymen' is a common noun, a general word for male (usually Christian) priests, ministers, or religious leaders.A common noun is capitalized only when it is the first word in a sentence.