Help- I love the fixture for updating my kitchen,but the inner fabric shade is “white” and I wonder if it might be possible to tea dye it to have it blend better with my natural linen valances. I haven’t been able to see how to easily take apart but though maybe I could put on its side and dye in the tub. The fabric look to be a linen like weave with cotton or cotton poly fiber. It is not shiny at all.