With accusations of sexual harassment dogging its star host, Ryan Seacrest, and celebrities reportedly planning to steer clear of him on the Oscar red carpet on Sunday, E! is under pressure heading into Hollywood’s biggest night of the year. Now a female producer is claiming employment discrimination after getting fired, she said, for letting a clip critical of the network air during the Golden Globes.

The producer, Aileen Gram-Moreno, said she was let go after allowing a clip of Eva Longoria criticizing E! to air during the channel’s Golden Globes red-carpet show in January. On Thursday, she filed a complaint with the Equal Employment Opportunity Commission, claiming she was unfairly terminated and replaced by a man.

Ms. Longoria was one of several actresses who used red-carpet interviews to voice their support of Catt Sadler, the former E! News co-host who quit after learning her male colleague was earning nearly double her salary. E! has said that the roles were not comparable, because Ms. Sadler was a correspondent, and that it pays its employees fairly “regardless of gender.”

The theme of women’s equality dominated the Golden Globes, and the ceremony served as a launching pad for Time’s Up, the Hollywood-led initiative to fight sexual harassment that emerged from the #MeToo movement. To show support for the movement at the January event, attendees, celebrities and journalists, including the E! hosts Giuliana Rancic and Ryan Seacrest, wore black.