evidence: This is the grain of truth at the heart of the concern around sugar and cancer — yes, sugar feeds cancer cells. [...] "Stopping sugar getting to cancer cells would also mean that your body's healthy cells get starved of necessary sugars," says the CEO of Cancer Council Australia, Professor Sanchia Aranda. [...] Eliminating sugar from your diet won't help you, because you'll be depriving other cells of a valuable fuel source too.