That mimics some of what I've seen in Topaz DeNoise, it appears to apply some sharpening even when sharpening is set to zero. Not only the white line on the eyeball but there's also a dark sharpening outline around the head of the bird both of which point to some sharpening even when sharpening is ostensibly disabled. FWIW, I don't use any additional sharpening on images I run through DeNoise as it seems to provide plenty.
I played with the Topaz masking feature a bit today and it's pretty easy. You just brush on a red colored opacity mask over places where you don't want DeNoise to do anything and the processed photo is left alone in those areas.
Another approach I've thought about is to take the original image and the DeNoise image and open the pair as layers in Photoshop with the Topaz image in the top layer. Then you could add a layer mask to the Topaz image and paint on the layer mask to detune or completely remove the Topaz changes to specific parts of the image. Since the original image and Topaz edit image share the same crop and overall positioning they're easy to stack as layers and then just hide or reveal the parts you want with a layer mask. That could also work if you think Topaz went a bit too far, just layer them up and tune down the opacity of the Topaz layer to find a more suitable blend.