I can't see the noise in the image size posted here.
Your camera settings were 1/800 sec and f/7.1 at ISO 200. Those settings should not result in much noise unless you significantly underexpose the image.
Active D-Lighting on high will reduce the exposure - I think it is 0.7 stops on High. The exposure is corrected with a curve that may add some noise.
Most likely the cause of the noise is processing - either in camera or post processing. Sharpening, contrast, and brightness can all add noise to an image. Combining in camera settings with post processing settings to double process can add to the noise. The effects are more severe with processing JPEG's or small files. You may need to apply noise reduction or Gaussian Blur to remove the noise.