Asked what hope she holds for the couple's union, Ms Greer's prediction was bleak.
It's clear that the date went well, given the fact that Harry and Meghan are now engaged to be married.
"It's a handsome couple, and it's great to see they found love and I just feel like it's going to grow because there's a generation who are going to discover the royal family in a slightly different way - I think this is a really good time for Meghan and for Harry".
"No one wants Meghan's children, they're going to be eighth, ninth in the line of succession", she said. The article goes on to add that Markle revealed the news about the date with Harry to her friend and agent, Gina Nelthorpe-Cowne.
Markle reportedly moved to the VFS Global UK Visa Application Centre in Chicago and was there for only approximately 10 minutes to finalize her visa, TMZ documented.
The film will star Murray Fraser ("The Loch") as Prince Harry and Parisa Fitz-Henley ("Midnight Texas") as Meghan Markle.
They are scheduled to be Wednesday at Windsor Castle on May 19 and more than 2,500 people have been invited to attend the event.
He said: "The emphasis will very clearly be on guests that Harry and Meghan know themselves".
There will also be several viewing areas along the procession route, where members of the public will be able to watch the newlywed royal couple pass through.
With the royal wedding just around the corner, speculation has been rife about who will be designing Meghan Markle's dress and what kind of style she's going to go for.
"It's almost always a question of the non-royal running for the hills just to get away from the whole thing". They look so happy, - replied the wife of David Beckham.
Germaine Greer says Meghan Markle will "bolt" when the reality of life as a royal sinks in.
"The word I am getting from the palace is that Harry is absolutely besotted with her", he said.