David (pictured), a former BBC and Sky journalist and presenter, joined Legal & General at the end of March, and was responsible for external comms and social responsibility strategy at the listed group, reporting to CEO Nigel Wilson.
A spokesman confirmed to PRWeek that David left the company about a month ago.
He said: "There is as yet no news on her successor, if there is to be one. It’s not clear that she is going to be replaced in that role. They are looking at what the corporate affairs role will look like."
David’s predecessor was John Godfrey, who moved to Downing Street last summer as director of policy under Theresa May.
David was previously a business presenter on Sky News and co-presented the channel’s political programme, Sky News Tonight. Prior to joining Sky in 2009, she worked with Tesco’s board, overhauling and delivering the retailer’s broadcast media strategy.
Before this, David was a financial correspondent and presenter for the BBC in London and New York, where she led the corporation’s Wall Street coverage of the emergence of the financial crisis. She was recruited by the BBC while working on HSBC Investment Bank’s trading floor as its UK economist.