Why does Arachne refuse to accept the advice of the old woman?

Arachne refuses to accept the advice of the old woman because she is overly confident in her own skills as a weaver and believes that her talent surpasses that of the gods, particularly Athena. She perceives the old woman's warning as an attempt to undermine her abilities and challenge her pride. This defiance ultimately leads her to challenge Athena to a weaving contest, showcasing her hubris and disregard for the divine.