The teenager wrote a letter to a judge shortly before her death arguing that cryogenic preservation would be her only hope of being "woken up" when a cancer cure was found.
The girl - who died 11 days after writing the letter - was supported by her mother but her father had tried to block the move to freeze her body.
The teenager - known only as JS - appealed to Justice Peter Jackson to ensure only her mother could make decisions about her body after she died.
JS had not seen her father for six years before she became ill.
In the letter, JS wrote: "I think being cryopreserved gives me a chance to be cured and woken up - even in hundreds of years' time."
Justice Peter Jackson ruled in JS's favour. He visited her in hospital shortly before her death to commend "the valiant way in which she was facing her predicament".
The girl's body has since been frozen and taken to a storage facility in the US.
At the facility, bodies are preserved in liquid nitrogen at temperatures between -130 and -196C.
As yet, no one who has been preserved in this way has been revived.
JS is the tenth Briton to be frozen and is the only British child.
Steve Fouch from Christian Medical Fellowship told Premier that cryogenics "dangles a faint hope" in front of people with serious illnesses.
He said: "There's no basis to believe that we could actually bring someone back from the dead after they've been thawed out... even if the technology was there, why would a future society want to bring back someone from 100 years ago? It's a long shot and a gamble.
"In a society where there is no hope in Jesus, this is the kind of straw that people would grasp for."
Fouch added that it was unlikely that cryogenics would ever be a solution to death. He said: "Do we ever really think we will be able to conquer death? I think the Bible tells us quite clearly there is only one person who has and can conquer death and that's Jesus."