The correct answer is not in the selection that you provided Athena was actually jeelly because of Arachines boasting that she was better than the gods in every way thus she was turned into a spider hints her Greek name for spider.
In my best guess i would say her weaving was better because of the competition that was held between the two, in which Arachne won and was forever cures in the form of staying in the mortal shape of a spider forever weaving for her entire lifetime in spider form.\
I really hope this helped you. I'm going to provide you a link for more info just in case my answer didn't help you quite enough. :)
