Blasphemy is a massively inflammatory charge in Muslim-majority Pakistan, where even unproven allegations of insulting Islam and its Prophet Mohammed can provoke death at the hands of vigilantes.
Ms. Bibi's whereabouts were not known on Friday. The timing of her release was not been shared due to security reasons.
Bibi's husband, Ashiq Masih, had returned from Britain with their children in mid-October and was waiting for her to join them, the brother added.
Father Tariq Isaac, chaplain of Philadelphia's Pakistani Catholic community, fled to the US with his family after experiencing persecution from Islamic extremists in Pakistan.
In his speech Pakistani Premier said: "I'm here only because a Supreme Court verdict was announced today". Ms. Bibi got relief she should have been entitled to as a right just because the Chief Justice wanted to help a weak new government struggling to manage the country's external finances. In 2011, the governor of Punjab, Salmaan Taseer, was murdered after he called for blasphemy laws to be reformed or abolished.
Amid the backlash after the historic judgment, security forces were deployed outside churches to protect the country's minority Christian community and the three SC judges who pronounced the judgment in the case are also being offered protection from an attack by religious hardliners.
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Bibi's case has long garnered worldwide attention, with Pope Benedict, Pope Francis and a number of human rights groups calling for her freedom. And the legal system - which, in theory, should be created to protect the innocent - failed her in every way until political expediency necessitated otherwise.
Speaking out against the country's blasphemy laws is a unsafe platform.
Bibi's blasphemy case has long roiled Pakistan. Business activities in the cities too have been adversely affected. The constant state of religious frenzy that Pakistan's machinery of state maintains as a guarantee of Pakistani nationhood heightens vigilante violence against alleged blasphemers and their alleged protectors.
After the acquittal, large crowds gathered outside the court demanding her conviction to be upheld. The party chief, Khadim Hussain Rizvi, subsequently asked protesters to disperse from all sit-ins peacefully.
Nationwide rallies have also been held with videos uploaded onto the internet showing shoes and stones being hurled at Pakistan's new prime minister and supporter of Ms Bibi Imran Khan, sparking fears of violence in the nation. She was reported to authorities by a Muslim woman and an Imam for the insult. They, too, are under threat from the baying mobs.
In a televised national broadcast late on November 1, Prime Minister Imran Khan warned the protesters the government would act against any prolonged blockade. "They are doing their politics". "We tried negotiations and (in) negotiations you take something and you leave something".
Reversing its ruling would be a rare move by the Supreme Court in Pakistan.