With future perfect (F2) you jump to a point in the future, turn round and say some action is finished then. Actually a complicated thing and cumbersome and in most cases you can express the same idea much simpler without using F2. This tense existed in Latin and it was imitated by writers.
In current English usage, muse can refer in general to a person who inspires an artist, writer, or musician.
Webster defines inspiration as the following: Definitions of inspiration on the Web: 1  arousal of the mind to special unusual activity or creativity.  a product of your creative thinking and work; âhe had little respect for the inspirations of other artistsâ; âafter years of work his brainchild was a tangible realityâ.