1
general::
Phrase(s): worthy of the name
deserving to be so called; good enough to enjoy a specific designation. • There was not an actor worthy of the name in that play. • Any art critic worthy of the name would know that painting to be a fake.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Deserving a name or description, as in Any artist worthy of the name can draw better than that. This expression uses worthy of in the sense of "deserving by reason of merit," a usage dating from about 1300.
American Heritage Idioms