Certainly one family member took exception to Mattel's depiction of the artist, which eliminated her signature unibrow, a long single eyebrow that one commentator found emblematic of "her striking and lovely refusal to give in to certain sexist societal pressures".
Her family is complaining about the lack of resemblance that the doll bears to the real artist and is alleging that Mattel did not have permission to use her image.
The corporation said it got the rights through Kahlo's niece, Isolda Pinedo Kahlo, more than a decade ago.
However, an American company called the Frida Kahlo Corporation insisted it was the legitimate owner of the rights.
A lawyer for Romeo added that Mattel did not have the rights to use Kahlo's image, according to the news agency.
With the new Barbie collection including women from NASA mathematician Katherine Johnson and aviation pioneer Amelia Earhart to boxing Champion Nicola Adams OBE and filmmaker Patty Jenkins, the Barbie brand received praise for its selection.
In a ideal world, we would all rejoice and applaud the fact that our beloved Frida Kahlo is being immortalized with her own Barbie.
But Kahlo's family soon issued a statement objecting to the doll.
Pablo Sangri, a lawyer for de Anda Romeo, said his client doesn't seek money, but wants Mattel to talk about redesigning the doll. "It should be a doll that represents everything my aunt represented, her strength", she told AFP.
The artist with the famous unibrow was famous for her self-portraits and became a feminist icon.
But the problem goes deeper than just a dispute over image rights, said Romeo, the granddaughter of Kahlo's sister Cristina. Fans of the painter have also criticized the fact that the doll doesn't appear to have any signs of polio, a disease that incapacitated her for most of her life, or the life-long injuries that were caused by a bus crash in 1925.
Kahlo (1907-1954), the wife of the Mexican muralist Diego Rivera, is considered one of the great painters of the 20th century for her searingly intimate portraits, often dealing with her own pain and isolation.