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The 32-year-old's first World Series win since 2012 ended the 13-event winning streak of Gwen Jorgensen.
The Welsh triathlete also beat British rival Jodie Stimpson.
"Helen has put a very strong case forward," said Stanford, who has already qualified for Rio along with Vicky Holland.
With an official announcement due in June, two-time world champion Jenkins and England's Commonwealth champion Stimpson are competing to be part of Britain's female triathlon contingent in Rio this summer.
"Personally, I can't see how they can't pick Helen," said Jenkins' Welsh compatriot Stanford.
"British Triathlon were saying that you had to display potential to medal for Rio and she's absolutely done that.
"She's gone out there and won the race and not only that she's beaten Gwen Jorgensen, who is the hot favourite to win gold in Rio, so if you beat her you've shown you have potential to medal so I'd be very surprised if she's not selected."
Stimpson made a strong start to the season, winning the opening World Series event in Abu Dhabi and the sprint distance World Cup in Australia.
But she trailed in 12th, more than three minutes behind the winner, at the Gold Coast.
"Jodie had a fantastic start to the season," added Stanford, the 2013 world champion.
"But sadly she didn't quite have the race she wanted at the Gold Coast which was the actual selection race.
"That was the day they had to really perform and show what they were capable of doing, but she presented a strong case earlier in the year and you never know what the selectors are thinking and which way they will go."
After winning the race in Australia, Jenkins said: "The team is not announced yet but I think I have probably done enough today.
"Our team is so strong and it is so unfair that Jodie might not be going to the Games."

General Jonathan Vance, Canada's top soldier, has opened an investigation into the weekend incident and has called it "deplorable".
Video from the day shows a tense exchange between the servicemen and people attending the ceremony.
One claims they are members of an alt-right group called "Proud Boys".
That group describes itself on Facebook as "a fraternal organisation of Western Chauvinists who will no longer apologise for creating the modern world".
Among the values they cite are minimal government, anti-political correctness, closed borders, anti-racial guilt, anti-racism, glorifying the entrepreneur and venerating the housewife.
In video from Saturday's confrontation, the servicemen are seen carrying Canada's former "Red Ensign" flag, which includes the Union flag and went out of official use in 1965 after being replaced by the maple leaf design.
One woman is heard asking: "What caused you to feel the need to bring a British flag?"
One man responds: "Because it's a British colony."
"You're recognising your heritage and so are we," another says.
After about 10 minutes, the group leaves the park.
Gen Vance, Canada's Chief of the Defence Staff, said in a statement that he "detests any action by a Canadian Armed Forces member that is intended to show disrespect towards the very people and cultures we value in Canada".
He adds: that any military member "who is not prepared to be the defender we need them to be will face severe consequences, including release from the forces".
Gen Vance said the servicemen involved have been removed from active duty and that their future in the military is in doubt.
A sixth armed forces member was also involved but is not under review, according to a National defence spokesperson.
The First Nations ceremony held by a small group of protesters in Halifax on Canada Day was meant to mark the country's troubled history with indigenous peoples. It was held next to the statue of the city's founder, British military officer Edward Cornwallis.
Halifax is in the midst of a long debate over how the city commemorates Cornwallis, who in 1749 placed a bounty on the scalps of Mi'kmaq people after they rebelled against the British.
Non Stanford will be surprised if Helen Jenkins is not in the British triathlon team for the Olympics after her victory in the Gold Coast World Series event.
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Five members of the Canadian Armed Forces are facing possible expulsion from the military after crashing an indigenous event on Canada Day.