A tighter crop would be better, but I understand how hard it is to capture a bird, especcially in a unique pose. I think you can improve the composition, the branch makes it interesting, but it could be better. Maybe moving the frame to the left so the bird is on the right half.
I'm not a hard-liner "rule of thirds" guy, but I think it would definitely help this image. The bird is way too centered -- but the slight off-center that it is is to the right or the direction of flight. I find it more appealing to have the direction of flight appear to be entering the frame rather than leaving.