Another vote for desaturating the sky. Great pose, the near wing is full of good detail. In a perfect world (well, at least mine) the far wing would be stretched higher up, but man I would love something like this in my files!
Love the details, you captured the intense red eye very well. another vote for toning down/ desat BG. If you want to be super critical HA could be a bit better hiding the partial right eye which is in shadow and left wing would be raised more. But it is prefect as is.