Tervoort will succeed Jacco van der Linden, who was promoted to to managing director of Heineken's operating company in China in July, and joins in January.
She joins from PepsiCo, where she is currently head of marketing, cereals for the Western Europe & Africa region and was formerly marketing director for the Netherlands region during nine years at the company.
Prior to joining PepsiCo she spent a decade at Unilever where she held sales and marketing roles.
Cindy will report to David Forde, UK managing director, and will become part of the UK senior management team.
Forde said: "Cindy brings with her a wealth of experience, particularly driving growth and innovation.
"She arrives in our UK business at a very exciting time, as we continue to invest and innovate in our fantastic portfolio of cider and beer brands. I look forward to welcoming her into the team in January."