Seems there are several distinct issues.
Some words have very specific meaning,
other words are somewhat flexible, yet
others are context-dependent. Then there's
the matter of denotation vs. colloquial meaning...
Monk means monk, unless you're Japanese.
Where it could mean priest who is not monastic.
But then there's Bodhisattva ordinarion but not
monastic-- some say 18 root vows and 46 branch;
but others say only 5!
Vajrayana vows are considered an ordination
but some say lay, others say a distinct sangha.
Priests are generally professionals, but qualified
authorized teachers are not necessarily priests
Many Bona Fide Lamas are not monks, nuns,
nor even ordained as ngakpas, yet they are
authorized by and ordained by their root-lamas...
Other times, only authorized to teach, but no ordination...
Very complex indeed.