It is a question made for a tabloid headline, but the issue facing Jeremy Corbyn has got nothing to do with his private life.Shortly afterwards Eagle, already the shadow business secretary.
Europe
Labour won't back EU exit - Corbyn
Labour leader Jeremy Corbyn has told the BBC that he will not campaign for Britain to leave the European Union.
A guide to the UK's planned in-out EU
The UK is set to have a referendum by the end of 2017 on whether or not to remain a member of the European Union.
What Britain wants from Europe?
David Cameron says he has a mandate to pursue EU reform following the Conservatives' general election victory. The PM, who will be hoping his majority government