The professional dancer was revealed to be the model's partner in the latest series of Strictly yesterday (September 15).
He is said to be angry with producers after being partnered with a third "high-maintenance" celebrity in a row, reports The Sun.
A source alleged: "Anton was livid. He hoped he'd get someone like Victoria Pendleton who viewers would love. He feared Jerry would be another high-maintenance star who the public would end up not liking."
Du Beke has been paired with politician Ann Widdecombe and Nancy Dell'Olio in recent years.
During the launch show, Strictly judge Craig Revel Horwood joked: "She was hoping for someone tall, dark and handsome - and ended up with Anton."
However, Du Beke is reported to have warmed to Mick Jagger's ex-wife after spending more time with her.
A BBC source said: "He's thinking that she's quite high-profile, so might get him to the final."
Strictly Come Dancing continues on October 5, where seven celebrities will be performing for the first time with their new partners.
Photo gallery - Strictly Come Dancing launch show: