She is the partner of Chelsea FC's Russian billionaire owner Roman Abramovich.
Ms Dasha Zhukova set off an online storm after a fashion blog published a photo of her on a chair made to resemble a half-naked black woman - on Martin Luther King Day, held every third Monday of January.
Fashion website Buro 24/7 used the image on Monday to illustrate an unrelated interview about the former model's new magazine, Garage. Ms Miroslava Duma, the blog's editor, also posted the photo on Instagram.
Both were met with a barrage of disgusted comments. Ms Duma quickly deleted the picture from Instagram and cropped out the chair on Buro 24/7.
FashionBombDaily.com editor Claire Sulmers claimed the photo's message was clear: "White dominance and superiority, articulated in a seemingly serene yet overtly degrading way."
Ms Zhukova apologised on Tuesday.
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