Wren attended Parsnips Youth Theatre in Harborough for four years.
She was featured in the Mail in July 2006, when she and two others from Parsnips were chosen to be a part of the National Youth Theatre.
[2] Wren started acting when she was talent spotted by Disney UK at the age of 16.
She was then engaged for Disney’s comedy sketch show Life Bites, playing the lead role as Chloe.
[4][5] In 2010 she appeared in Andrea Arnold's film adaptation of Emily Brontë’s novel Wuthering Heights, in which she played Frances Earnshaw.