The lawsuit, filed at a US District Court in Missouri, also lists Carlsen's online chess platform Play Magnus, Chess.com executive Danny Rensch and American Grandmaster Hikaru Nakamura as defendants.
The 20-year-old Priyanka from Andhra Pradesh was found to have a pair of earbuds -- a banned item in chess tournaments -- in her jacket pocket.
Carlsen, 31, withdrew from the Sinquefield Cup in St Louis, Missouri, earlier this month after losing to the 19-year-old, who lags him by almost 200 Elo points.
The international chess body also rebuked the world champion for abruptly resigning an online game recently.
India 'B' settled for bronze in the Open section while India 'A' women side also finished third.
Arkady Dvorkovich was re-elected president for a second term.
Union Sports Minister Thakur inaugurated the opening round by making the first move on Vidit Gujrathi's board.
Last month, Anand had announced that he will be supporting Dvorkovich in the FIDE elections.
Carlsen beat Ian Ian Nepomniachtchi by the scored 7.5-3.5 to retain his title.
Replying to a tweet by FIDE announcing him as a commentator for the match, Anand said he was looking forward on the assignment.