Wicks fell ill in Paris, where she was working for Leo Burnett, in April and died in a London hospital last Friday.
During an agency career spanning more than three decades, Wicks built a reputation for combining a formidable intellect with an ability to simplify complex problems.
John Poorta, Leo Burnett's vice-chairman, said: "Anne was one of the pioneers of women in advertising when it wasn't the done thing."
Wicks began her career at JWT, working on The Times and The Sunday Times, before moving to McCann-Erickson as its head of research.
After a stint at Grandfield Rork Collins, she became DMB&B's head of planning and was one of the agency's vice-chairmen when it was named Campaign's Agency of the Year in 1987. She was also a founder and former chairman of Wacl.
Graham Hinton, the former DMB&B joint chairman, said: "Anne was a mentor and inspiration for countless planners, and probably many creatives and suits as well."