Born in Tallinn, Estonian SSR, Kuik was discovered at age 13 in an Estonian supermarket by model scout Paolo Moglia.

[2] She has walked the runways for more than 50 designers, including Gucci (for which she opened the fall 2003 and spring 2004 shows),[3] Chanel, Louis Vuitton, Versace, Ralph Lauren, Giorgio Armani, Paul Smith, Narciso Rodriguez, Paco Rabanne, Salvatore Ferragamo, Dsquared2, Emilio Pucci, Fendi, Prada, Jil Sander, Marc Jacobs, Karl Lagerfeld, Jean Paul Gaultier, John Galliano, Dolce & Gabbana, Chloé and many others.

[4] Kuik's face has graced the covers of several high-profile fashion magazines like Elle, Marie Claire, Velvet and multiple Vogue covers.

She also has appeared in fashion advertising campaigns for: Christian Dior (J'Adore fragrance), Louis Vuitton, Moschino, Valentino, Pollini, Bill Blass, MontBlanc, Kenneth Cole, Neiman Marcus, Bergdorf Goodman, Swarovski and many others.

[5] She is now representing CoverGirl cosmetics and appeared in a CoverGirl commercial with Queen Latifah and America's Next Top Model, Dani Evans.