The record seven-time winner is missing out for the first time since 2005.
However, the Versailles court decision is unlikely to affect Benzema's immediate sporting future.
Awarded by France Football magazine, the Ballon d'Or has been given out every year since Stanley Matthews won the first one in 1956. Lionel Messi has won it a record six times one more than longtime rival Cristiano Ronaldo.
The American duo were joined by England defender Lucy Bronze, Dutch forward Vivianne Miedema and Australia's Sam Kerr.
Messi won Spain's Liga title with Barca this year and led Argentina to third place at the Copa America in July.
Juventus forward Cristiano Ronaldo and Barcelona's Lionel Messi, who have won the award 10 times between them, are included, but Messi's former teammate Neymar, who now plays for Paris St Germain, missed out.
Ronaldo, 34, has won the renowned France Football magazine trophy for the world's best player five times - as many as Messi - but is eager for more as he moves into the twilight of his career.
Hegerberg, who helped lead Lyon win the Women's Champions League last season, looked embarrassed and answered 'no' after Solveig asked her in French to do the provocative dance.
He broke Cristiano Ronaldo's and Lionel Messi's decade-long hold on the prestigious award.
Ronaldo's nomination comes after the 33-year-old last week denied rape allegations levelled against him by a woman who sued him in court in the United States.