What adjective form or position is the italicized word or phrase?
the woman at the desk is competent.
predicate
coordinate
appositive
competent is the italicized word

The answer here is predicate, simple because it follows a copulative verb - to be (is competent). It cannot be a coordinate adjective, as that would mean there are several adjectives in a sequence describing a noun. And it is not an appositive adjective as it is not separated by commas (Anna, the girl I like, couldn't make it to the party.)