[2] Her 2011 essay on Christianity and colonialism, "Provincialising God: Anglicanism, place, and the colonisation of Australian land", won the Bruce Mansfield Prize for best article in the Journal of Religious History.
[4][5] Her 2013 book Faith in Action: HammondCare is a history of one of Australia's "largest but least known" Christian charities,[2] founded by Reverend Robert Hammond whose relief centre in Sydney helped people including "Mr Eternity" Arthur Stace and politician John Hatton.
[2][11][12] The judges of the Prime Minister's Award said the book "presents, for the first time, a thorough examination of the broad cultural, political, and historical context that Christianity and the Bible have played in Australia since 1788" and called Lake's writing "lively, energetic and highly accessible.
"[10][13] Since January 2019, Lake has presented the ABC Radio National program Soul Search about faith and spirituality.
[15][16] In April 2021, she gave the annual May McLeod Lecture at the United Theological College in Sydney.