She was speaking after a meeting of Cobra, the emergency response committee, focused largely on the attack as opposed to any wider policy response.
Cameron will chair a meeting of the British government's emergency response committee, Cobra, on Wednesday to consider responses to the killing and the threat to the British hostage.
On Thursday night, a Downing Street spokesman said a meeting of the government's emergency response committee, Cobra, was told the chief medical officer still believed the risk to the UK remained low.
"From the very start Cobra [the government's emergency response committee] assessed that Linda's life was in grave danger which is why I authorised, from the very beginning, a rescue attempt to be made in the right circumstances," said Hague.
Mr Hammond chaired a meeting of Cobra, the government's emergency response committee, on Monday.
Another meeting of Cobra, the government's emergency response committee, was convened earlier chaired by the environment secretary.
A 15th meeting of Cobra, the government's emergency response committee, was chaired by Environment Secretary Owen Paterson on Thursday evening.
Mr Cameron chaired another meeting of the government's emergency response committee, Cobra, for about 45 minutes on Friday morning.
A second meeting of the government's emergency response committee, Cobra, will take place on Thursday morning.
At a meeting of the government's emergency response committee, Cobra, it was decided to tighten security at Woolwich and other barracks in London.
