Born on June 5, 1985 in Istanbul, Moray's father is a Kurd from Diyarbakır and her mother is from Kastamon.[3] She moved to Istanbul with her family a few years after her birth.

She started her theater education at an early age. She studied at Pera Fine Arts High School for a while. She received her university education at Haliç University Theater Department in 2005 and graduated in 2009.

During her graduate studies, her father suffered a heart attack, which led to radical changes in Moray's life. Around this time, Moray was offered a TV series and she made her television debut in the series Serseri Aşıklar, which aired in 2003.

In 2004, she played the character of "Simge" in the TV series "Uncle" and in 2005, she played the character of "Ezgi" in the TV series "Nefes Nefese". She played the character of Senem in the TV series "Doctors" which aired between 2007 and 2008, and the character of "Su" in the TV series "Poplar Yelleri" which aired between 2007 and 2011. In 2012, she played the character of "Zehra" in the series İşler Güçler and in 2014-2017, she played the character of "Efsun" in the series O Hayat Benim. In 2014, she played the character of "Berrak" in the movie Bi Küçük Eylül Meselesi, and in 2015, she played the character of "Ebru" in the movie Yok Artık! In 2016, she played the character of "Merve" in the feature film Olaylar Olaylar and in the same year, she played the character of "Feryal" in the feature film El Değmemiş Aşk. In 2018, she played the character of "Ezgi" in the movie Arada, which was released in 2018. She played the character of "Azra" in the TV series Avlu, which was broadcast between 2018-2019. In 2020, she gave life to the character of "Zeynep" in the series called The Teacher.

In September 2017, she married her French lover Nico Brun. It was reported that they divorced by mutual consent on April 27, 2022.