“There’s an audience of African-Americans who just want to see themselves in a good story, not necessarily a race-specific show,” said Joan Morgan, a fan of the series and the author of “When Chickenheads Come Home to Roost,” a book about black women and feminism today. “It’s not about this being a black show,” Ms. Morgan said. “It’s about seeing the show where black women and other women are represented less about race and more about who they are.”

“Scandal” follows the twists and turns of Olivia Pope, a political fixer played by Ms. Washington, and her team of lawyers, hackers and political insiders. The character is loosely based on the real Washington operative Judy Smith, a former member of the George H. W. Bush White House and well-known crisis manager who has represented, among others, Monica Lewinsky and Michael Vick. (Ms. Smith is a co-executive producer on the show). Olivia is also having an affair with the president of the United States, Fitzgerald Thomas Grant III, played by Tony Goldwyn.

Asked whether she felt any pressure being in this unusual position, Ms. Washington said the pressure was on the audience more than on the cast and crew. She said in an e-mail: “The question was: Are audiences ready to have the stories that we tell on television to be more inclusive? Are we ready for our protagonists to represent people of all different genders and ethnicities?”

“I think the success of the show speaks to how we have become more inclusive as a society because the fans of the show span all different races and ages and genders,” she wrote. “It’s very exciting.” For Dr. Brittney Cooper, co-founder of Crunk Feminist Collective and assistant professor of women’s studies at Rutgers University, the subtleties of Ms. Washington’s character, Olivia Pope, make her most attractive.

“The few black women we’ve seen in prime-time roles in scripted shows, they have to be morally above scrutiny, and she’s not,” Dr. Cooper said. In addition to her relationship with the president, Ms. Washington’s character has defended the reputations of dictators, executives and politicians.