Ireland and France, the other two nations in contention for hosting rights, have voiced their disapproval of World Rugby's decision to back South Africa, but their protestations may fall on deaf ears if the voters decide to hand the World Cup to the 1995 hosts.
The fog of war that has afflicted the race to host the 2023 Rugby World Cup will lift on Wednesday and is expected to reveal South Africa as outright victors to stage the quadrennial showpiece.
The 2023 Rugby World Cup is a big one. That invention involved William Web Ellis catching a ball during a game of football and running with it.
France then took the head-to-head against South Africa by 24 to 15.
England hosted the most recent tournament, in 2015, when New Zealand won a second successive title after victory on home soil in 2011.
"They have a fiduciary responsibility at that meeting to act accordingly", Roux said.
Despite the criticism, South Africa remained in the driving seat this week, with Deputy President Cyril Ramaphosa returning to London to lead the South African delegation, which also included sports minister Thulas Nxesi and Alexander.
We'll keep you posted.
It will also risk resentment from World Rugby's top brass, and cast doubt on the validity of a report they have been at pains to uphold.
The chief executive of the Ireland union, Phillip Browne, went as far as to write a letter to World Rugby outlining his grievances.
And Beaumont could yet play a role in the vote, if it's tied, as the tiebreaker.
The first round vote saw Ireland knocked out of the process with just 8 votes from a possible 39 canvassed countries.
Some background information on that voting process. South Africa is the best candidate so we'll be guided by the recommendation and vote accordingly.
How many votes do we need?