I don't know if you caught the story on BBC News before they apologised but it was entitled something like "Queen storms out of portrait sitting". This was based on a new documentary about the Queen where the BBC had privileged access to the Royal Household.
A couple of hours later we get an apology from the BBC regarding a trailer for the same programme which suggested the Queen had stormed off just like the previous story which has disappeared.
So this leads me to believe 1 of 2 situations. 1) The Queen has pressured the BBC into apologising in which case the BBC needs to grow some balls! or, more likely, 2) The BBC lied about what happened in order to get more viewers and then reported it as news. In that case I think someone at the BBC needs to be fired, like yesterday.
The Queen has never struck me as someone who'd get overly emotional in front of television cameras...