I took your original and came up with this, the difference is subtle;
Change your sharpening presets to Amt 40-50, Radius 0.7 and Detail 5-10. Noise reduction only as needed.
You want to use spot metering and a wide open aperture when you use those long lenses.
You want to expose the subject and to hell with the surroundings, this will involve watching
the in camera metering (in viewfinder) and ignoring the histogram that shows up on the LCD monitor.
If you expose to the right in this one, it won't look "natural".
Drop that ISO to 800 or less, if you can.
SS on that glass, in this situition, make it closer to 1/1000.
Wide open aperture.
On your image, I used the magic wand tool to make a selection and just changed the exposure on the bird, no biggie.
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