Both the Adelaide and Port Adelaide clubs have condemned the actions of the woman featured in a video that has been shared on social media.
Port Adelaide chairman David Koch said before the club spoke with the woman that he'd be "absolutely disgusted" if racism was found to be the motivation.
"We're a club, we're an industry, we're a code that doesn't shirk away from these sorts of incidents," he said.
"If it was racially motivated, not only would she be banned for life from the club, we would encourage her to come and sit with our players, our Aboriginal players and try to understand what these actions mean to them."
The club also relied on testimony from Port Adelaide fans in the vicinity, who said her action was accompanied by racist sledging through the match.
The club said it would meet with the woman and offer her a chance to take part in the club's Aboriginal cultural awareness programs, pointing out her act was completely at odds with its embrace of Aboriginal players and culture.
Adelaide said they welcomed the decision to ban the spectator with chief executive Andrew Fagan saying there must be zero tolerence to racial vilification of any kind.
"There is no place in our game or society for such abhorrent behaviour," he said.
Port have more indigenous players on their list than any other AFL side, with a rich history of indigenous representation.
They confirmed their seven Aboriginal players, led by Chad Wingard, would be a part of a counselling process offered, while cancelling her membership.
Koch claimed support from Betts for the club's educational approach.
"Eddie is not only an incredible football player but an amazing human being," he said.
"He said 'that's exactly the thing that you should do'.
"He understands like us ... that the lasting good, if any good can come from this, is to make sure no football crowd, no workplace, no family thinks this is acceptable behaviour."
The AFL, Adelaide and Port Adelaide football clubs and Adelaide Oval management all released statements on Sunday condemning anti-social behaviour.
The call to action was led by Crows captain Taylor Walker, who tweeted his disappointment.
"Absolutely disgusting! Shouldn't ever be allowed back into enjoy the football. Very disappointing," he said.
- AAP