This is a very nice image, and I love the OOF green background. The focus looks to be crisply on the eye, and I think the shallow depth of field works well on this shot.
In terms of critique, I agree to some extent with Asher: a catch-light in the eye would give the Snipe a little more "life" but I'm not sure his enhancing of the natural sky reflex is an improvement. This brings up the somewhat controversial point of whether or not adding a small catch-light using Photoshop would be acceptable. On the one hand, how is this any less artificial than mounting an electronic strobe on one's camera to create one, but on the other, it does seem to depart from the general concept of photography.
Regarding composition, the original is a little tight, but I think it works well as an intimate portrait. If I wanted to print and sell this image, I wouldn't be against adding some green canvas as Asher did, and would consider it, but I'm not convinced it's necessary.
In terms of my personal critique, the white balance looks a little cool, so I would consider tweaking that. Also the overall tonality is low - look at the histogram, and close to 100% of the peaks are at the half-way point or lower. Adjusting curves/levels would make this one 'pop'.
I hope you don't see all of these comments as negative. The image is a very strong one, and that motivates many of us to tweak it to make it the best it could possibly be and bring out its full potential.
That, of course, is a matter of taste, and you may justifiably feel that the original image as posted does precisely that. Just some ideas and thoughts for you to ponder, for whatever they're worth.