Is the word "Muse" problematic?

Also the idea of Muse has been warped in today's world. In Greek myth they Judged the competition between Athena and Arachne. And a group of sisters? I think? Were turned into birds for having the impudence of challenging the Muses in a singing competition. They were the embodiment of the arts, not just the inspiration for them.
 
Oh why not...

Does the word objectify a woman (usually) physically or as an abstract idea- meaning as whatever it is the artist is inspired to create by his 'Muse'? Is the distinction important?
 
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