If you fear for your employment or whatever if you were to talk about this in your own name then you should tell them.
The question on universities - if you have been watching that you could give examples of academics being no platformed, harassed, needing extra security, Julie bindel physically attacked at edinburgh uni etc.
I am including examples who are not to do with the gender issue too but I've been watching free speech for a while (that's how I became aware of this issue).
Police over-reach, non crime hate incidents, etc.
Just some ideas. I better get on with it!