The context clues that support the definition of Muse as an "inspiration for writing poetry" are the following:
B) "Spend'st thou thy fury on some worthless song"; C) "the ear that doth thy lays esteem"; and D) "gives thy pen both skill and argument"
A muse is a a person or personified force who is the source of inspiration for a creative artist. All three clues talk about being inspired into writting better, with more skill even.