Very nice image! I like the mood and composition. Personally I don't see the point in printing your signature on the bird. It will take 1 minute to remove it anyhow if someone is interested to use your image without your permission...
This is a lovely capture with just right composition and I LOVE the added touch of the rain. I do wish the rain drop were not going through the bird's eye but that's nature. The BG colors are amazing and work so well with your subject. If you are not opposed, you may consider working on the eye.