the sun rises again in the morning. This is not as hopeless as it seems.

I like the brevity.

Also, "eagle flying" and "swaying in the wind", I find them contradictory - one deliberate, the other a sign of helpless surrender. Why did you use them?

agree with William. Maybe you could find another word to use? [Swaying] just doesn't seem to get it.
maybe floating or soaring. although, [soaring is a bit cliché], Nice feel though, made me feel like I was flying in a lonely sky. ~ Gee

An Acrostic to answer your write I hope it is good enough:-

"Eagles Fly Alone"

Effortless wings holding warm air
As earthly bounty passes my stare
Gathered horizons the world sighs
Longings for companions to fill my eyes
Eternity of peace to feed my sense
Soaring with dreams of freedom intense

Fearing the setting of the sun
Lonely times when the only one
Yet seek another in times to come

Are there more things than this
Loneliness is it a kind of bliss
Or am I missing the whole point
No one needs to be as lonely as I
Eagle that continues to search the sky

Yours Ian.T