She's in a damned if you do damned if you don't position. If she used her role to ban the debate she'd be called all sorts of names. What I'm saying is that replacing the name Muslim with Jew in the debate title would literally create UK government intervention and cause the debate to be banned. The closest example I can think of is David Irving being banned from a 2001 Oxford debate for Holocaust denial. And that wasn't even a "Jewish Question" debate comparable to this

https://www.theguardian.com/uk/2001/may/10/education.highereducation

David Triesman, general secretary of the Association of University Teachers, this week warned of an international boycott of the Oxford Union if the event went ahead.

"If the Oxford Union feels compelled to allow him to appear then I must inform you that this would leave me no other option than to call for an academic boycott."

Simon Petar, anti-racist convenor for the National Union of Students, said last night: "Obviously we are extremely pleased by the decision but the real tragedy is that the Oxford Union felt it was acceptable to invite a Holocaust denier to speak in the first place,"

I don't think people realize how hard Chomsky quote from the article in the post applies here.