Frankly, even an amateur would have suggested taping the Valerie Kirk Show, rather than airing it live.
But this is part of the reason why this episode is not among my favourites: we are supposed to think Kay is competent, but this decision is so bad that I have trouble accepting her as being competent in the first place. I suppose the point is that she's a good 'number two' but not cut out to be number one - but apparently the Valerie Kirk show was always supposed to be live, and the bosses went along with this the whole time??
It's a little like the mistake the chess champion Emmet Clayton makes when losing a match in the simultaneous chess tournament when Columbo is bugging him: it's the shortest checkmate possible. I can accept that he would be distracted into making a mistake, but not that particular mistake.