She began acting in the early 2000s, and has since appeared in a number of film and television parts, including her roles on the series The O.C., The Black Donnellys, and House.
Wilde was born in New York City on March 10, 1984 as Olivia Jane Cockburn. Her mother, Leslie Cockburn, is a 60 Minutes producer and journalist, and her father, Andrew Cockburn, is an Irish journalist, as are her paternal uncles Alexander and Patrick, all of whom are contributors to the political website CounterPunch.org. Her half-aunt was the late writer Sarah Caudwell. Her paternal grandfather was the Irish-born novelist/journalist Claud Cockburn.