Well, before the experts get here... (I'm not one..)
I am loathe to suggest what I'd do to "improve" it because my method would be to work with the lyric AND melody/music all together. It's a song lyric not a poem so we only have half the story here and in many songs, the lyric is less than half..
What I would say is that it reads well enough. There were a few lines I particularly liked.. it's not a lyric I'd throw away at all ..but I would want to develop it for sure and take out some of the "ordinarier" phrases or phrases that have been used a lot in songs (e.g. "hope hanging by a thread" is a bit of a cliche, maybe..) to try and make it a little bit more poetic, maybe a bit less obvious. Not necessarily more "flowery" or "airy-fairy" though, but a little more poetic, and a little more oblique maybe.
Like many song lyrics I thought the first verse was the better and I'd be working on the lyric to bring up any later verses up to match the first in quality of lines and the expression of ideas.
Also, can you add anything else to the basic idea of being "lost" or "at odds" with the World? Otherwise, you may say it all in one verse and just be repeating that same basic idea in all the verses.
Which may work, or not.. but you might want to look at that. With a great melody it might not matter too much anyway BUT don't underestimate the power of the good/great lyric!
That's all for now. It's a good enough lyric to start with for for what could develop into a good song. Certainly, don't hang you head in despair (like the protagonist in the song!)
Post it with the melody you have in mind (if you like). You'll certainly get listened to here and other songwriters of all styles and capabilities will offer constructive views which may be of use to you at this stage.
Good luck!
Frankie xxx