British businessman Shrien Dewani has won a High Court appeal against extradition to South Africa to face allegations of masterminding the murder of his bride during their honeymoon.
The High Court temporarily halted his extradition on mental health grounds.
Two judges in London ruled that it would be "unjust and oppressive" to order the removal of Dewani, who is accused of arranging the contract killing of wife Anni in Cape Town in November 2010 during their honeymoon.
But the court said it was plainly in the interests of justice that he should be extradited "as soon as he is fit" to be tried.
Care home owner Dewani, from Bristol, strenuously denies any wrongdoing.
He has been diagnosed with severe post-traumatic stress disorder (PTSD) and severe depression and his lawyers argue that his health and life will be at risk if he is extradited.
The Dewani family welcomed the ruling, saying: "Shrien can only return to South Africa when he is well enough and when his personal safety can be guaranteed."
Ami Denborg, who is Anni Dewani's sister, said outside court: "We just want him to get better now so he can finally return to South Africa and tell us what happened. We just want to know the truth."
"It would be oppressive to send him back if his health is not good, but we are happy as a family to hear that the court has decided that it is in the interests of justice that he will go back to South Africa.
"The court has rejected his appeal on human rights.
"I feel, and we feel, that there are a lot of delays and it is very painful for us, but we want to get to the truth about what happened to our sister Anni."
She added: "We just want to know the truth because it is all about our dearest little sister who was murdered."
Sir John Thomas, president of the Queen's Bench Division and Mr Justice Ouseley, allowed Dewani's appeal against immediate extradition and ordered that the case be remitted back to Westminster Magistrates Court for a further hearing.
The key factors the judges said they had taken into account included his unfitness to plead, increased prospects of a speedier recovery if he remains in the UK and "the lack of clear certainty" as to what would happen if he was returned to South Africa in his present condition.
The risk of suicide was also considered "to a much lesser degree".
Dewani, 28, from Sweden, was shot when a taxi the couple were travelling in was hijacked in the Gugulethu township on the outskirts of Cape Town.
She was found dead in the back of the abandoned vehicle with a bullet wound to her neck after taxi driver Zola Tongo drove the newlyweds to the impoverished area.
He and Dewani were ejected by the hijackers before Dewani was driven away and shot.
Tongo, who has admitted his part in the crime, claimed in a plea agreement with prosecutors that Dewani ordered the carjacking and paid for a hit on his wife.