Ellie Wilson, 29, was said to have romped with the teenager in 2015 and later told him she was pregnant with his baby.
She denied four charges of abuse of position and sexual activity with a child at Bristol Crown Court but jurors were unable to reach a majority decision.
The Crown Prosecution asked for seven days to consider if it wished to seek a retrial but they confirmed today they would not be pursuing another court case.
Jurors during a trial heard how the science teacher reportedly had sex with the teenager after grabbing his penis on the overnight flight back from Africa.
She then allegedly exchanged hundreds of messages with the boy – including one reading "Happy Valentines Day".
Wilson was also accused of kissing and cuddling the boy on three occasions, after a meal at Nando's and trips to Tintern Abbey and Ashton Court Estate in Bristol.
But jurors said last Wednesday there was no "realistic prospect" of reaching a verdict in the case after ten-and-a-half hours of deliberations over three days.
A man believed to be Wilson's boyfriend today answered the door at their terraced home and said: "She does not want to talk to anyone".
Despite the chaos in her professional and private life, it can be revealed that Wilson has found love with Josh Hawkins, 27, with whom she has been in a relationship with since last year.
Mr Hawkins walked into Bristol Crown Court hand-in-hand with his new girlfriend on every day of her trial this month.
The couple also have the support of her parents Pauline and Stuart, who travelled down from their Yorkshire home to be close to her as she sat in the dock for six days.
After being forced out of the teaching profession, Wilson is believed to have moved to Devon where she's training on Dartmoor with a view to joining the Royal Navy.
During the trial, jurors heard Wilson was said to have found she was pregnant and went on to have an abortion, with prosecutors claiming the boy was the father.
Wilson said the baby actually belonged to her "on-off" boyfriend Andrew Hall, who dumped her because he was worried she was cheating on him.
Wilson also insisted sex on the plane would have been "impossible" because she was wearing hiking boots and branded claims she pulled one leg of her trousers down to romp as "like the description of a weird porn film".
Wilson, who is now a civil servant with the Ministry of Defence and a Royal Navy Reservist, admitted her and the boy had become close and found him “quite a charming, cheeky chap”.
She described him as a "mate" and admitted she told him she was pregnant as she was "lonely and upset".
And she said she was on her period on the flight home — meaning she couldn't have become pregnant even if the encounter with the student had taken place.
The physics teacher was head of Key Stage Four at a Bristol secondary school when she started the relationship three years ago.
She has been struck off on recommendation from the National College for Teaching and Leadership (NCTL).
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