Strange, when you reduced the background noise, the bird got more noise? I know that posts on this forum often look noisy or overly sharp compared to how they looked before upload.
There's no way to fix the bird without affecting detail so I leave it as is. It isn't really a problem when you see the shot on its own. At times there isn't enough light to get what I want. The fellow was eating so any slow shutter would have resulted in blur.