Olympic boxing champion Khelif is understood to have filed a criminal complaint to French authorities.
The complaint details alleged “acts of aggravated cyber harassment” against the Algerian boxer.
Khelif’s lawyer Nabil Boudi told Variety: "JK Rowling and Elon Musk are named in the lawsuit, among others.
"Trump tweeted, so whether or not he is named in our lawsuit, he will inevitably be looked into as part of the prosecution.
"What we’re asking is that the prosecution investigates not only these people but whoever it feels necessary.
The Parisian lawyer added: “If the case goes to court, they will stand trial.”
Khelif won Olympic gold in the women’s 66kg boxing contest on Saturday after critics said her partipation risked women’s safety.
The Algerian was born female and does not identify as transgender or intersex.
But Khelif faced criticism on social media from a number of public figures saying she is male and should not be taking part.
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