'Ding Dong! The Witch is Dead' has jumped to number four in the charts after anti-Thatcher campaigners adopted the song as their anthem in the days following the former Prime Minister's death.
Director General Tony Hall is quoted as saying that while he thinks the campaign to make the song top the charts is "rather tasteless," the choice of whether to play the song on air is for news editors to make.
Supporters of Margaret Thatcher, including former Conservative treasurer Lord McAlpine, have expressed outrage that the possibility is even being considered, saying it is a matter of taste.
More top news
Tonight will start off clear in many areas, but cloud will increase from the east overnight, bringing some light and patchy rain.
Defending champions Arsenal squeezed into the FA Cup final despite a spirited fightback from Reading, who forced extra-time
A detective who led investigations into the Valley Parade fire tells ITV News there is "unequivocal" evidence the disaster was an accident.