WordNet records no synonym and no antonym for ministry. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
religious ministers collectively (especially Presbyterian)
building where the business of a government ministry is transacted
a government department under the direction of a minister of state
the work of a minister of religion
“he is studying for the ministry”
Synonyms, antonyms and the broader and narrower relations for ministry come from Princeton University’s WordNet. Full sources and licences.