I think you would do much better using an image (or even a Noise Texture) as a fac between two orange Diffuse BSDF shaders (one dark and one light). Your texture is applying perfectly, it's just that plugging it into the Roughness: value of a Glossy BSDF doesn't do much.
Proposed node setup and viewport render:
Here is an alternate .blend file with only the node setup (the original was too big for Blend Exchange):
I believe that the Noise Texture and above image does still create a better result, but using the Image Texture, I created the following.
I turned the Mapping node's Scale: value way down to 0.05 so that you can see the Image Texture from the viewport's distance to the bear. If you have it at 2, the following is a zoomed in bear. That to the left; that's his right eye.