Should I email my Uni Lecturer about this?

Love it how the last two posters are assuming it’s a man! Yes definitely email the lecturer and ask for an explanation.

I am a lecturer (and have a vagina - gasp!) and would welcome the discussion.

I would report him to the colleges/uni for hate speech and misogyny.

Ask for primary source evidence. He may attempt to flannel because he knows it is bullshit or he may be genuinely surprised that he can't find any. Her genuine concern about ROGD is what was quoted at me as evidence of transphobia. It most certainly isn't and the recent court case backs her up.
Go for it.
Ask the question.

God, how depressing that people involved in education would do this. Yes, please email the lecturer asking as well if they are allowed to make people of different beliefs uncomfortable in their lectures - I’m sure this must be something they are warned against if teaching is anything to go by.

Ask the lecturer to provide evidence for their claim.

I'd also ask them what their opinions are regarding women having thoughts and opinions about our current legal protections.

would it be reasonable of me to email the lecturer and ask why they thought this was a reasonable thing to do?
No, don't ask "what they thought". Ask them to provide evidence of their assertion. But worded a bit more diplomatically than that.

Why did they say it as a matter of interest, I mean how did JK Rowling come up? But yes absolutely challenge this, people should be asked what it was about anything she said that was transphobic as opposed to speaking out for women's rights

Another vote for yes, at the very least there should be some explanation for that view based on her essay.

If it's a personally held point of view not only should it be defensible it should be openly debated as to whether that is reasonable to think so.

Universities should encourage debate around this, it shouldn't be something to be scared of, though I see why it could be.

Yes, absolutely!
As long as you ask in an open and respectful manner (as I've no doubt you would), this is a great thing to do, IMHO. Could you ask why, specifically, the lecturer thinks what JK said was transphobic?

I'm sick of hearing her described as transphobic. My young DD said she'd gone off her for this reason and I felt so sad. I explained that I dont think she is but due to her age couldn't get too far into the whys.

If you're confident of putting your points across clearly then I would say something.

Not only reasonable OP but vitally important. Also worth asking him/her whether they have actually read JKR's essay and, if so, what the evidence is for 'hatred or fear' of trans people.

And maybe whether they feel that women have the right to name themselves or if the language we use to talk about our material experiences as a sex-based class should be decided and policed by men.

Good luck!

I think you'd be reasonable. I wish there was a woke ranking for universities.

Irrespective of my views I would think that should provoke a healthy debate and I think that is what University is meant to do. Promote independent research and the ability to question (challenge?) opinions in a healthy respectful way.

I am probably wrong though.

Yeah of course it would as a professor they should welcome and be able to engage in debate. I would be interested in their reasoning also.

What are you studying/what do they teach?