The 23-year-old is the first Australian woman to become the world's best since Evonne Goolagong Cawley in 1976.
"You always dream of it [being world No1] as a little kid but for it to become a reality is incredible".
Barty's late withdrawal is the biggest blow for the tournament, although not entirely unexpected, and it opens up the field for other contenders, particularly the British No 1, Jo Konta, who was on track to meet her in the third round.
Since then the Queenslander's rise has been remarkable.
"They are things I can't control necessarily", Barty told reporters after her victory.
"She is a truly impressive person and deserves every success that comes her way".
She returned in 2016 as an unranked player and just over three years later she is the best player in the world, a meteoric rise.
"Over the last three years, Ash has grown as a person and as a player".
Air Canada passenger Tiffani Adams says she was abandoned on "freezing" plane
Adams said that she spotted a luggage cart driving near her, as she is "literally dangling" her legs out of the plane. Air Canada is looking into how a passenger was forgotten and left on a plane overnight at Toronto's Pearson Airport.
Beth Chapman's Daughter Gives Update On Mother's Condition
On Sunday, she followed that message up with a note saying she was on a flight home, presumably to be with her family. Duane "Dog" Chapman pleaded with his fans on Twitter to 'please say your prayers for Beth right now'.
Viral Acharya unable to continue as deputy governor beyond July 23: RBI
Those expectations are however set to change following the change in the central bank's stance to accommodative earlier in June. Acharya had warned in a speech on October 26 that undermining the central bank's independence could be potentially catastrophic.
Barty is the 27th woman to reach number one since WTA rankings were introduced in 1975.
Ashleigh Barty of Australia takes a selfie with the Maud Watson Trophy after victory in her final match of the Nature Valley Classic.
"[The teachers] all remember Ashleigh as a humble, down to earth student ... didn't want to be known as anything different, didn't want to be sort of "out there" even when she won junior Wimbledon".
"It's been a whirlwind few weeks for me and it's been a whirlwind year but to follow in the footsteps of Evonne, to be even mentioned in the same sentence as her is incredible and what she's done for our sport, for Australians all around the world, she's put us on the map and what she's done for Indigenous Australians has just been remarkable".
There will be no elaborate celebrations for Barty, however, as she said she was getting straight in a auto to head own to Eastbourne to continue her Wimbledon preparations.
Following her French Open triumph earlier this month, Australia's Barty will head to Wimbledon buoyed by a 6-3 7-5 win against her doubles partner Goerges.
Barty, who is on a 12-match winning streak, said she was optimistic she would be ready in time for Wimbledon where she will be the top seed and many people's favourite.
Barty trailed 3-0 in the second set but, once again showing her champion qualities, she fought back in typically unflappable fashion, saving a set point at 5-4 down with her seventh ace before eventually prevailing after one hour and 28 minutes.