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Structure tensor view is useful for tweaking the amount of detail preserved after filtering. It basically shows you a mask of things which appear to either be excluded completely from filtering or receive reduced filtering.

The red and blue lines are your edges (e.g. hard black outlines on your image). Red lines are horizontal edges. Blue lines are vertical edges.

Green is detail and noise. (you'll usually want to be careful about the amount of green shown, or you will potentially end up with a lot of residue noise, particularly around edges)

If you DO NOT WANT something filtered by Greycstoration, make sure IT IS covered by Red, Blue, or Green in Structure Tensor view.

If you DO WANT something filtered by Greycstoration, make sure IT IS NOT covered by Red, Blue, or Green in Structure Tensor view.