Her mother is a lesbian and her father is gay; Skriver and her younger brother, Oliver, were conceived through in vitro fertilisation.

[4][5] At the age of 15, Skriver was discovered and approached about her modeling potential while on a trip to New York with her football team.

That season, she also walked for many other prominent designers, like Calvin Klein, Rag & Bone, Gucci, Dolce & Gabbana, Givenchy, Yves Saint Laurent, Valentino, Alexander McQueen, Balenciaga, DKNY and Christian Dior.

[7][8][9] Throughout her career, she has done advertisement campaigns for brands such as H&M, Dior, Gucci, Bulgari, DKNY, Michael Kors, Balmain, MAC Cosmetics, Armani Exchange, Karen Millen, Max Mara, Topten, Tommy Hilfiger, Yves Saint Laurent Beauty, Caleres, Tom Ford, Shu Uemura, Andrew Marc, G-Shock, Victoria's Secret and she has been on the cover of and featured in editorials of numerous magazines such as Marie Claire, Vanity Fair, V magazine, Interview, L'Officiel, Vs., W, Allure, Italian, German, Russian, Chinese, Japanese, Australian, Brazilian, Spanish and American Vogue as well as Danish, Italian, Brazilian, Swedish, French Elle and British, Polish, Mexican, Arabian and American Harper's Bazaar, and more.

[12] She has said that her ultimate goal is that her story will "not be that interesting soon, because that would mean that society has come to accept LGBT parents to be just as traditional and normal as any other way of having a family.