I will not repeat information about her which you can find on Wikipaedia. But, briefly for those who have never heard of her ... Greer was one of the great names of Feminism from the 1960s onwards. Intelligent and articulate and academic, she was a name to conjure with ... and be threatened by.
Not now. She's gone off message. Or rather, 'Feminism' has itself mutated into positions which she never held, has never accepted, and sees no reason not to repudiate. As well as The Female Eunuch, the work by which she made her name, a book I don't think you will regret giving time to is her The Whole Woman.
Don't get me wrong. Greer is not some Victorian Convert to Righteousness. Reading her will not reinforce all your own convictions about things with regard to which you have strong feelings. For example, she has joined no anti-abortion organisation. She waves no pro-life banner. But read what she writes about Abortion ... and a lot of other things ... in TWW, and you'll see what a lot of acute good sense she talks about the Abortion industry as a way in which men exploit, demean, and make money out of women. I rather like her angry rhetoric about "the gynecological abattoir". Incidentally, she praised the initiative of Cardinal Winning to give women in Scotland a genuine alternative to Abortion.
Political Correctness in this country is particularly preoccupied at the moment with 'Transgender People' ... and all that. I know this because I read the Undergraduate freebie newspapers which circulate in this University! And Dr Greer has maintained the simple and obvious position that a man, rendered incomplete and filled with female hormones, is not a woman. Greer is willing to use female pronouns for such an individual out of courtesy; she does not desire to prevent them from having the thing done to them; but she doesn't see why she should be forced to say that Black is White. She campaigned against the election of a 'transwoman' to be a Fellow of her College in Cambridge on the grounds that the Statutes prescribe that Fellows must be women ... and that the fellowship candidate wasn't. Total universal uproar. From being a Feminist Icon, transformation into Major Hate Figure.
And now, to bring you up to date ...
... she is lined up to take part in a series of lectures at Cardiff University on Twentieth Century Feminism ... of which she was, at least as far as Britain is concerned, the dominant figure. And ... yes, you've guessed ... the bigots are doing their best to get her banned. ("Bigot" is a short-hand English term for: "People who say 'I am in favour of free speech but'.")