Athene turns her attention to Arachne because she has heard that Arachne doesn’t yield to Athene in praise for her skill at weaving. It’s an odd construction in English, but it just means that when someone praises Arachne for her weaving talents, she says Thanks very much instead of the more appropriate (in Athene’s eyes), Oh, this old thing, it’s just a rag, really, you should save your praise for the goddess Athene, she’s the one who can weave.
