The Archbishop of Canterbury added in the interview that a proposed new role would be for a "presidential figure who can travel more readily".
The 62-year-old is to step down in December after 10 years as Archbishop of Canterbury to take up a new post as Master of Magdalene College in Cambridge.
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His representatives said Cassidy, who was hospitalised last week, died "surrounded by those he loved."
The company’s recently appointed Chief Executive Dara Khosrowshahi said the breach was made by two individuals outside the company.