What is conceited arachne?

Answer 1

I'm assuming you're inquiring as to how Arachne was conceited in the Greek myth, yes?

Arachne was a beautiful, but very vain, young woman whose spinning and weaving skill was famous throughout the land. Her talent surpassed that of every mortal, and, as she recognized her own superiority, she was incredibly boastful about it--even going so far as to insult and challenge the goddess of weaving, crafts, and skill (Athena) herself. Her conceit carried over to the weaving contest she challenged Athena to, creating a tapestry that, while wondrously done, was a mocking work that depicted the all of the failings and fears of the gods. It was because of this blatant insolence that she lost and was forced to weave as a spider for eternity.