Rahaf Mohammed Mutlaq Al-Qunun will instead have a chance to make her asylum case to the United Nations refugee agency.
"The UNHCR has referred Ms Rahaf Mohammed Al-Qunun to Australia for consideration for refugee resettlement", Australia's Department of Home Affairs confirmed in a statement.
At Bangkok's worldwide airport, security officials stopped her and confiscated her passport, which she said was later returned.
But armed with a phone, she barricaded herself into an airside hotel room and fought back - live-tweeting her fears of deportation in a campaign that swiftly galvanised worldwide support and prompted a sharp U-turn by Thai officials.
Her father, a Saudi government official, and brother landed in the capital last night and immediately asked to see Ms Alqunun.
The UN agency said it was "very grateful" that officials in Thailand had not deported her but her asylum claim would take "several days" to assess.
A student at the University of Ha'il, Saudi Arabia, al-Qunun fled her family during a holiday trip to Kuwait.
"When it became clear that she wasn't going to leave, I decided it was important to stay and have someone documenting what was going on", Ms McNeill said. "I have a ticket from Thailand to Melbourne, Australia", she told Asia Times via direct message.
But who is Rahaf al-Qunun and why is her life in danger? He said it was "too early to tell" if she will be granted asylum or refugee status.
"It is very incredible that the Australian government have offered her an asylum, given that the Australian government is not well known for its well treatment of refugees", said McNeil, who spent hours with Alqunun in her hotel room at the airport in Bangkok.
"My brothers and family and the Saudi embassy will be waiting for me in Kuwait", Rahaf said to Reuters.
In a series of emotional posts and videos on social media, she said that she escaped from abusive relatives and fears for her life because she had publicly renounced Islam.
A spokesman for the Department of Foreign Affairs and Trade said "the claims made by Ms al-Qunun that she may be harmed if returned to Saudi Arabia are deeply concerning".
Until recently, Alqunun had been living with her parents and six siblings in Ha'il, Saudi Arabia, where her father is a government official according to the Daily Mail. "If I go back to Saudi Arabia, I will be dead".
Thailand is not a signatory to the UN Refugee Convention and provides no legal protection to asylum seekers, although there are more than 100,000 refugees in the country. Once, she said, her family locked her up in a room for half a year because she cut her hair in a style they disliked. Saudi activists say the kingdom, through its embassies overseas, has at times put pressure on border patrol agents in foreign countries to deport the women back to Saudi Arabia. In a video clip of the meeting released by Thai immigration police, Alsheaiby is heard telling Thai officials: "From the moment she arrived, she opened a new account and her followers reached nearly 45,000 in a day". Surachet said that during his meeting with the Riyadh diplomat, both sides agreed that it was a family matter and both the family and the girl should meet to settle the conflict.
Saudi Arabia's embassy in Thailand on January 8 denied reports that Saudi Arabia had requested her extradition, according to Reuters. Qunun then used social media to seek help from different countries.