Washing Cameo window?

[poodlesprinkles.livejournal.com]

I recently went out to eat, and got two little grease dots on the chiffon waist bow on my cameo window tiered jsk. I'm terrified to try and wash it without asking first. Would anyone be so kind to point me in the right direction? What method would you recommend to remove the grease marks on the chiffon? Some help would be much appreciated! Thanks!