India, Aug. 29 -- When you're offered a big job that feels overwhelming, your first instinct might be to express doubt. But Accenture CEO Julie Sweet says that's the one thing you should never do. In a recent podcast of Fortune called 'Titans and Disruptors of Industry podcast with Alyson Shontel', Sweet recalled the moment her career path shifted.

Back in 2014, just a month before she was diagnosed with breast cancer, Sweet's then-boss Pierre Nanterme surprised her with a commitment during a routine meeting. "At the end of the meeting, he closes his notebook and he pushes it aside, and he says to me, completely out of the blue. 'I think you could run this place someday,'" Sweet recalled.

At that time, Sweet was Accenture's general coun...