The whole thing was painfully scripted.
That would make some sense. Not 100% convinced but then again I don't have to be.
It all seems to have started on twitter and in comments. I wonder what came first... the defending of JK Rowling or the praise from trans advocates that saw what they wanted to see and ran with it causing all this?
Now that you said it, yes it's very possible it was scripted and deliberate.
It's also likely that the "audience" had more to do with who the comment was about ,than what was actually meant.
She's fucked anyways. If she stays quiet , all JK Rowling's supporters will keep in this similar vein. If she denies it all the trans activists that praised her will turn on her. Her past comments and attitude brought her in this position.