Her Facebook post branded Betts an "ape" and said he should "change his name to George and go back to the zoo".
A brawl broke out between a section of Port Adelaide fans, who were clearly enraged by their painful defeat to cross city rivals Adelaide Crows.
Port said it was aware of the latest racism controversy involving the club - it banned a female member previous year for throwing a banana at Betts during a game against the Crows.
The Power also resolved its ruckman Paddy Ryder was racially vilified by a spectator, although any formal action was unlikely to be taken.
"We have got a zero tolerance approach to this (but) we can do more and we will do more".
"As a club, we are sickened by these reports", Port's chief executive Keith Thomas said. "But there are still isolated instances and we are going to keep tackling them, we're going to keep calling them out".
"Racism wounds people and individuals". "Racism wounds people, it hurts communities, and racism has no place in our game", he said.
The AFL Players' Indigenous Advisory Board, which represents Aboriginals playing in Australia's richest and best-attended professional league, responded on Tuesday with a plea for an end to the abuse.
We want football fans to barrack for their club with passion, but shouting abuse at an opposition player and targeting their race needs to stop.Keep this in mind when you watch the football this weekend and help us stop racism.
A woman is expected to be charged by police for posting racist comments about Adelaide AFL star Eddie Betts on Facebook.
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'We deserve more respect than we are being shown.
The letter continued that the abuse had an impact not only on the players but on their families and the wider indigenous community.
"While it's heartening that these incidents are being called out, there's a lot of work to do before we can claim to be a truly inclusive game".
Betts declined to comment yesterday as his teammates rallied around him.
"You just don't understand why this happens, especially to a bloke who is one of the nicest guys you will meet", Adelaide teammate Luke Brown said.
Speaking to Sportsday, AFL Operations Manager Simon Lethlean said it was disappointing we are still talking about this issue.
'We're here to support him throughout the whole thing and the club is doing the same thing. we'll back him 100 per cent.
Crows chief executive Andrew Fagan said his club "strongly" condemned racial vilification.
"If a club Member has been found to breach Port Adelaide's spectator code of conduct the offender's membership can be revoked indefinitely".
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