The show, which premiered on Monday and comes from "Gilmore Girls" creator Amy Sherman-Palladino, tells the story of a Las Vegas showgirl (Sutton Foster), who moves to a quiet down and becomes an instructor at the dance school her new mother-in-law (Kelly Bishop) owns.
Rhimes, who created "Practice," "Grey's Anatomy" and recent hit "Scandal," took to Twitter on the show's debut night -- Monday, June 11 -- with a complaint, as Entertainment Weekly first noticed.
After reading some Twitter followers' responses, Rhimes, who is mom to new baby Emerson and 10-year-old Harper, clarified that she doesn't "feel bad when [her] kid watches white performers."
— shonda rhimes (@shondarhimes) June 12, 2012
The TV producer then went on to clarify that she was a fan of Sherman-Palladino's "Gilmore Girls," but is just taking up "one issue" with "Bunheads."
ABC Family told The Huffington Post that no comment will be issued about Rhimes' tweets at this time, but "Bunheads" is not the first new show to receive backlash about a lack of diversity.
HBO's "Girls" has been getting flack for not featuring any women of color since it premiered in April. The show's creator and star Lena Dunham has been fielding questions and accusations about racism in interview after interview.
"I wanted to avoid was tokenism in casting," Dunham told NPR's "Fresh Air" in May. "Not that the experience of an African-American girl and a white girl are drastically different, but there has to be specificity to that experience [that] I wasn't able to speak to."
Recently, it was revealed that "Community" star Donald Glover was cast in Season 2 of "Girls" and another casting call for "Hipster Types [of] all ethnicities, all types" was put out for the HBO series' sophomore season.
In a June interview with The New York Times Magazine, Dunham joked about the "Girls" race issue a bit. "I mean, it’s not going to be like, 'Hey guys, we've been out looking for a black friend or a friend in a wheelchair or a friend with a hat,'" she said.
When the racial criticism about "Girls" was at its peak, HuffPost TV critic Maureen Ryan wondered why "Girls" was bearing the brunt of a TV-wide issue. "I could list the shows on television with all-white casts, but then we'd be here all day," she wrote. "If I threw a roster of the shows that are all white but have a token non-white person who is rarely the focus of any important stories, we'd be here well into the evening."