I don't see how that is worse than Qf6.
What's the Worst Move You Can Make?

I don't see how that is worse than Qf6.
Because after Black plays O-O, Qg4 introduces the threat of mate, and c2 pinned by bishop all the while. Black then after pushing the b2 pawn in a futile effort to defend results in forced checkmate in two from Qe5, and in the best case scenario after playing O-O, Black will survive for five turns back before suffering a forced mate. If Black plays instead Qf6, Black have a much better chance of surviving and playing.

The Bongcloud move, ...Ke7, is much worse than the other proposed alternatives.
Edit: I take it back. ...O-O actually is worse, being mate in two fewer moves than ...Ke7.
Post your own games too if you wish. We all sometimes make seemingly logically but disasterous moves every now and then. This thread is about just that. Basically, just post a position, and see if anyone can post the wosrt move you or your opponent could make, and explain why a such seemingly logical move is such a terrible move. Here's a simple one to get the ball rolling.
Edit: You solve the puzzle by making the worst move you can.