They actively believe you need an XY or you can't join the club. I love her lecture on pornography, because there is a problem there--and I do know she's part of feminist academia--a tough place to navigate, and far too many names for me to keep up with.
I have no use for trans exclusionary bigotry either. When I first read Greer, I thought it made a certain sense - then I started really thinking about it--how damaging and harmful and cruel and bigoted it was. And like the critique said-- how she did it was strangely contradictory from other writings and conclusions ( I have the book-- I should go re-read that part)
One thing I found interesting looking her up were a couple of older threads in DU (not in feminist groups) accusing her of being right wing because of her stance on pornography, not particularly any perceived transphobia.
I hope she's changed her mind as well.
(On edit-- I just pulled out Greer's book and she basically says that Trans have a body disphoria kind of disorder, brought about by reinforcing false gender roles and stereotypes.
"As sufferers from gender role distress themselves, women must sympathize with transsexuals but a feminist must argue that the treatment for gender role distress is not the mutilation of the sufferer but radical change in gender roles" (The Whole Woman pg 71)-- she goes on to say that gender reassignment surgery reinforces those roles and become part of the problem, completely ignoring intersexed or ambiguously sexed persons)