Caroline Starmer, 28, alleged the incident happened at the retailer's Leicester branch on 13 July.
The story was widely reported in the media, and Mrs Starmer also made the claims to police.
She appeared at Leicester Magistrates' Court, charged with intent to pervert the course of justice.
Mrs Starmer, of Marshall Street, was granted unconditional bail and will next appear at the city's crown court on 22 September.
A mother accused of falsely claiming a Primark security guard assaulted her and ordered her to leave the store for breastfeeding has appeared in court.