Melanie Montenegro, 22, suffered a massive heart attack during the operation at a clinic in Guayaquil, Ecuador.
The red-haired beauty was the mother of a three-year-old girl and a minor YouTube celebrity from her work in soap operas broadcast online.
Her devastated dad Edwin Montenegro said he was told his daughter had died over the phone.
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“I only want justice for my daughter”
Melania Montenegro’s mother
He said the medical team were unaware she was allergic to one of the medicines used during the operation.
Unaware she was undergoing surgery, he claimed his daughter had been misled by TV adverts offering low-cost surgery.
But the surgeon vanished soon after Melanie’s death, say cops.
Prosecutor Fredy Toala, who is investigating the case, ordered a search of the surgery and the home where the medic was living, but nothing was recovered.
A family spokesman said they planned to report the clinic to medical authorities and launch a criminal complaint.
Melanie’s mum Margota Robles said: “I only want justice for my daughter.”
Her death has sparked widespread anger in the country, as people call for the surgeon to be found.