Security guards pounced on the protester, who was wearing a beanie and casual clothes and dragged her away moments after the attack.
“The prime minister was attending an event at Albury Entertainment Centre, when a woman approached him from behind and allegedly struck him with an egg to the back of his head,’’ New South Wales Police said in a statement.
Police, who initially said the woman was 25, said they had arrested her.
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The Police, however, did not identify her nor give any details about her motive.
According to a reporter with the Australian newspaper, the woman told newsmen moments after the incident that her action “speaks for itself” and she referred to Manus Island in Papua New Guinea, where Australia had long detained refugees.
She was charged with common assault and drug possession, after police found cannabis on her.
The woman was released on bail and ordered to appear in court on May 27.
Morrison rubbed his head briefly after being grazed by the egg, which did not break and then helped an elderly woman who was pushed to the floor in the scuffle, television images showed.
The police said that no injuries were reported.
“We will stand up to thuggery whether it’s these cowardly activists who have no respect for anyone or militant unionists standing over small businesses and their employees on work sites,’’ Morrison tweeted after the incident.
Later, he joked when asked about it, saying he did not want to “over-egg’’ it.
“Just because you have a difference of view to someone, doesn’t mean you have to engage in these sorts of ugly types of protests.
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“We have to learn to disagree better,” he told newsmen, referring also to recent protests by vegans against farmers.
Opposition Labour leader Bill Shorten called the protester’s action unacceptable.
“This is appalling and disgraceful behavior,’’ he told newsmen.
The incident occurred during a visit by the prime minister to Albury, a New South Wales constituency where an independent candidate is the bookmakers’ favourite as rural voters desert the government.
In March, a teenager smashed an egg onto the head of a controversial right-wing Australian lawmaker who had blamed New Zealand’s mosque shootings on its immigration programme. (NAN)