Your question is interesting for several reasons.
First - Your melody is all quarter notes and eighth notes with very few half notes and/or full notes. If I were to try to make this fit lyrics, I'd want the freedom to create some variety with longer notes.
Secondly - The question is interesting because I can't really tell (and this is just me, not necessarily everyone) by just listening what you are writing. I'm very "visual" in terms of writing melodies. I'd have to see this on paper to get a feel for what I might do to it. If you wanted to get me that, I might be able to give you some real input. And by "on paper" I mean notes on a staff, not just chord notation in this case.
Third -- what you have written is very difficult and sounds "un-patterned." That's not a bad thing, but (as someone else pointed out) it would be incredibly difficult to fit lyrics to.
So, anyway.... that's the best information I can give you for now. If you'd like to get me some notation on the melody, I could critique it properly for you, and suggest some specific changes.