The Court of Appeal ruled Wednesday that May's appeal against that SIAC ruling was not justified.
CNN: UK loses latest attempt to deport radical cleric Abu Qatada
Putting that kind of conspiracy theory silliness aside, Parliament devised Siac to solve a very particular problem.
But Siac ruled Jordan had not proved Abu Qatada's retrial would be free of evidence obtained by torture.
He added the case would be considered by Siac at the earliest opportunity.
The fact that there's virtually no mobile reception at Siac only adds to the spooky feeling of the place.
Anyone in her position can appeal - and so the case has gone to the strange world of Siac.
Mr Justice Mitting of the Special Immigration Appeals Commission (Siac) granted Abu Qatada bail on Tuesday with strict conditions.
It's here that Siac fundamentally differs from the old Three Wise Men approach.
But the Court of Appeal upheld Siac's decision last month, saying the lower court had not misinterpreted nor misapplied the law.
BBC: Abu Qatada case: UK agrees assistance treaty with Jordan
The government accepted the findings and Siac was the eventual answer.
The cleric earlier appeared before a Special Immigration Appeals Commission (SIAC) hearing in central London following his arrest by UK Border Agency officials.
Because Siac says it needs people who can expertly scrutinise the workings and papers of the agencies making the allegations against the appellant.
But the failure to convince Siac meant the preacher could not be held in prison any longer and had to be released on bail.
The government sought fresh assurances from Jordan on the type of trial that the preacher would face - but those were rejected by Siac.
During two weeks of hearings last month, Mrs May's lawyers told Siac there was now ample documentary evidence proving Qatada would get a fair trial.
Abu Qatada, 52, was granted bail following the decision by the Siac judges in November last year and released from Long Lartin prison in Worcestershire.
Jordan's acting information minister Nayef al-Fayez told the BBC his government shared UK authorities' disappointment at the Special Immigration Appeals Commission (Siac) ruling on Monday.
The Special Immigration Appeals Commission (Siac) is a semi-secret court that deals with national security deportations where some of the sensitive material cannot be disclosed in public.
Edward Fitzgerald QC, appearing for the cleric, argued the Siac ruling was right and there was "concrete and compelling evidence" that his co-defendants were tortured into providing evidence.
However, the Court of Appeal concluded SIAC had misdirected itself in law and its decision could not stand because of the issue of evidence obtained by torture in Jordan.
The Court of Appeal case will be on the narrow issue of whether the Siac judgement was wrong because of a misinterpretation of the law, rather than the question of whether the underlying facts were incorrect.
Once Mrs May thought she had a deal with Jordan guaranteeing a fair trial for the preacher, she had to present it to Siac to see if deportation could now be approved, in line with Strasbourg's conditions.
But the Court of Appeal judges said Siac had been entitled to think there was a risk the "impugned statements" would be used in evidence during a retrial and there was "a real risk of a flagrant denial of justice".
BBC: Abu Qatada case: UK agrees assistance treaty with Jordan
The special immigration appeals commission (Siac) ruled in November there was a "real risk" evidence gained by torture could be used against Abu Qatada at a retrial in Jordan, meaning that he would not get a fair hearing.
The Special Immigration Appeals Commission (Siac), which adjudicates on national security-related deportations, ruled last year that Abu Qatada should not be removed from the UK because his retrial could be tainted by evidence obtained by torturing the cleric's former co-defendants.
BBC: Abu Qatada case: UK agrees assistance treaty with Jordan
James Eadie QC, appearing for Mrs May, said Siac had taken an "erroneous" view of the situation in Jordan and the legal tests that had to be applied when it came to assessing the conditions Abu Qatada could face there.
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