It’s just one small part of an interview she did for Harvard Business Review back in 2010 but one small part is all the excuse I need to recommend you read the lot:

She was asked what the secret is staying relevant?

Curiosity, and not allowing yourself to be boxed in or easily categorized. In pop music you have to be prepared to take risks. Not everything is going to be to everyone’s taste. But you stay alive artistically.

Life’s Work: An Interview with Annie Lennox – Alison Beard, Harvard Business Review (October 2010)

Read the full piece.