LONDON — The British Broadcasting Corporation has long been one of Britain’s most revered institutions. But after an election campaign in which it faced charges of bias, the media organization finds its future in the hands of some of its biggest critics.

Prime Minister Boris Johnson, coming off a resounding victory for his Conservative Party, raised questions during the campaign about the BBC’s fundamental source of revenue — the license fee charged to all television viewers in the country.

Evidence of his antipathy has been reinforced since the election by reports that he has barred cabinet ministers from appearing on an influential BBC radio program.

“Although there’s been pressure from both sides of the political divide on the BBC, it feels as if the current administration is more likely to act and do something drastic than a prior government would have been able to,” said Richard Broughton, the research director at Ampere Analysis, a London-based firm focused on analysis of media and communications.