Nurse was acting chief executive following the organisations' merger, replacing Andrew Miller who filled the role for three months. Recruitment consultant Veredus was brought in to fill the position full time.
Professor Gordon McVie, the former director-general of the Cancer Research Campaign and a contender for the post, has left. He was acting as director-general of fundraising and communications.
Karol Sikora, professor of cancer medicine at Imperial College London, said: "Gordon's departure was surprising and extremely sudden, unusual for a charity."
McVie's wife, Claudia, director of community fundraising at the charity, may now also leave.