Several things here, one, anybody can have a coughing fit when talking, probably results from too many speeches in too short a time, she could have cut short the speech but decided not to.The ‘comedian’ handing a P45 hardly bothered her at all, and I thought he was walked out of the hall in a considerate way ( not dragged out) although I do remember a disabled heckler being dragged out of a Labour Conference a few years ago, and he was a Labour voter!
I wouldn't have called the prankster in this case ‘ a lad’ either, unless he is really 17 and just looks 40.
The speech itself wasn’t going to impress the electorate, but wasn’t meant to, it was aimed at the Conference, May said that she was sorry about the awful election campaign and listed why she was in politics and what she would like to do.
The election is years away, so plenty of time for fireworks in speeches.
It’s up to the Conservative Party if she stays or not, but going on yesterday I think she will stay for a while at least.
Boris Johnson is a liability though, and always has been, but probably a good idea to keep an eye on him within the Cabinet.