// In recent weeks, Mr Cameron has watched as Mrs May has undone much of what he achieved while in charge of the Government.
Within days of taking office, Theresa May had already frozen out David Cameron’s inner circle.
His closest ministerial allies – most notably George Osborne – had been sacked in a brutal Cabinet reshuffle.
Many of his most trusted Downing Street aides were also fired and told that their services were no longer required in Mrs May’s new Government.
Although friends maintain that Mr Cameron has been sanguine about Mrs May’s decision to distance herself from his administration, they concede that he has been left “disappointed” by what many see as her evisceration of his legacy. //
http://www.telegraph.co.uk/news/2016/09/12/how-theresa-mays-government-has-distanced-itself-from-david-came/
If it is within May's power to give this high profile job to anyone, I reckon Cameron will not be on the list.