1.  priestcraft(n = noun.cognition) - a derogatory reference to priests who use their influence to control secular or political affairs;
is a kind of intrigue, machination

2.  priestcraft(n = noun.cognition) - the skills involved in the work of a priest;
is a kind of craft, craftsmanship, workmanship

   Priestly policy; the policy of a priesthood; esp., in an ill sense, fraud or imposition in religious concerns; management by priests to gain wealth and power by working upon the religious motives or credulity of others. [1913 Webster]
"It is better that men should be governed by priestcraft than by violence." [1913 Webster]

priestcraft, n. usu. derog. the work and influence of priests.

N  church, churchdom, ministry, apostleship, priesthood, prelacy, hierarch, church government, christendom, pale of the church, clericalism, sacerdotalism, episcopalianism, ultramontanism, theocracy, ecclesiology, ecclesiologist, priestcraft, odium theologicum, monachism, monachy, monasticism, monkhood, pontificate, primacy, archbishopric, archiepiscopacy, prelacy, bishopric, bishopdom, episcopate, episcopacy, see, diocese, deanery, stall, canonry, canonicate, prebend, prebendaryship, benefice, incumbency, glebe, advowson, living, cure, rectorship, vicariate, vicarship, deaconry, deaconship, curacy, chaplain, chaplaincy, chaplainship, cardinalate, cardinalship, abbacy, presbytery, holy orders, ordination, institution, consecration, induction, reading in, preferment, translation, presentation, popedom, the Vatican, the apostolic see, religious sects, council, conclave, convocation, synod, consistory, chapter, vestry, sanhedrim, conge d'elire, ecclesiastical courts, consistorial court, court of Arches, ecclesiastical, ecclesiological, clerical, sacerdotal, priestly, prelatical, pastoral, ministerial, capitular, theocratic, hierarchical, archiepiscopal, episcopal, episcopalian, canonical, monastic, monachal, monkish, abbatial, abbatical, Anglican, pontifical, papal, apostolic, Roman, Popish, ultramontane, priest-ridden.