Crew began her business career at Kraft Foods in 1997, where she filled a number of management positions. After seven years at Kraft, she moved to Dreyer's, a subsidiary of Nestlé, where she worked from 2004 to 2008, rising to Senior Vice President of Marketing, Frozen Snacks. From 2008 to 2010 she was the General Manager and chief marketing officer of Petcare US, at Mars, Incorporated.[5]
Crew joined PepsiCo in April 2010 as president, Western European Region,[5] headquartered in Geneva.[7] In August 2012 she was named to the newly created position of President of Pepsico Americas Beverages, which incorporated responsibility for the North American operations of the Gatorade and Tropicana brands, the Latin America Beverages operation, the North America warehouse sales operation, and the Beverage Growth Ventures Group.[7] In August 2014 she was named president and General Manager of PepsiCo North America Nutrition.[5]
In October 2014 Crew departed PepsiCo to become president and Chief Commercial Officer of the R.J. Reynolds Tobacco Company.[6] She had been a director of the company since December 2013.[5] The switch from the food to cigarette industry surprised observers,[8] as well as the timing, since she had headed PepsiCo's North America Nutrition for only two months.[2] In September 2015 her title changed to president and COO.[9] As COO she oversaw $8.6 billion of the company's estimated $10.7 billion in post-merger sales.[8]
In April 2019, Crew was appointed a non-executive director to Diageo's board. In July 2020, she replaced Deirdre Mahlan as president of Diageo North America.[3]
On July 1, 2023 Crew was appointed CEO of Diageo,[12][13] it is the first time in the company's history to appoint a female CEO.[14]
She was named to the Fortune list of the 50 Most Powerful Women in Business in 2014 and 2015. Crew has been named four times to Fortune magazine's list of the 50 Most Powerful Women in Business, ranking No. 44 in 2014,[16] No. 46 in 2015, No. 47 in 2016 and No. 34 in 2017.[8]