Alqunun's planned forced departure Monday morning was averted as she stayed in her hotel room, with furniture piled up against the door, photos she posted online showed.
In a statement, the Saudi Ministry of Foreign Affairs said al-Qunun "does not have a return reservation or a tourist program, which requires deportation by the Thai authorities".
Another tweet read: 'I'm afraid my family will kill me'.
Australian embassy representatives in Bangkok have reached out to Thai authorities and the UNHCR to "seek assurances" that she will be able to access the "refugee status determination process". "My family threatens to kill me for the most trivial things", the young woman, identified as 18-year-old Rahaf al-Qunun, told Reuters on Sunday.
She had asserted her independence and renounced Islam but had been forced to pray, wear a hijab and was beaten by her brother. Her claims have caught the attention of human rights campaigners. "We are simply performing our duties" he said.
But she was stopped en route by authorities in Thailand at the request of the Saudi government, which demanded the woman return to her family. "I'm not leaving my room until I see UNHCR", she said of the United Nations Human Rights Committee.
She said she had been beaten and male relatives had threatened to kill her.
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The deeply conservative Muslim country lifted a ban on when drivers a year ago.
Thailand's immigration police chief met Tuesday with officials of the Saudi Embassy in Bangkok, and said the officials told him they are satisfied with how Alqunan's case has been handled.
Rahaf just send me this, she just wants you to make sure she is on the hotel, and she still needs help and protection.
The UNHCR said that "for reasons of confidentiality and protection" it would not release details of their meeting.
In a statement UNHCR said: "UNHCR consistently advocated that refugees and asylum seekers... can not be returned to their countries of origin according to the principle of non-refoulement, which prevents states from expelling or returning persons to a territory where their life or freedom would be threatened".
New York-based Human Rights Watch said Thailand should not send Ms Qunun back to her family because she says she faces danger.
The Australian government said it would closely monitor the case, calling Ms Mohammed al-Qunun's allegations "deeply concerning". A family trip to Kuwait apparently allowed her to evade Saudi Arabia's restrictions on travel.
She said she believed she was stopped after her family appealed to Kuwait Airways.
Major General Surachate Hakparn told reporters that 18-year-old Rahaf Mohammed al Qunun would be granted entry under the protection of the office of the UN High Commissioner of Refugees.