In this clip Dr. King expresses his dissatisfaction with the Civil Rights Act of 1960 in an interview with Meet the Press on NBC. Check out the chick in the hat and rhinestone specks, Ms. May Craig. She's questioning the tactic of civil disobedience, equating it with randomly deciding which laws to follow and which to break. In doing so she's arguing against breaking laws that are unjust, when the goal of society should be justice. Not blind obedience to any law, just or unjust.
What is actually being said is don't push it. Wait. Justice will come. Don't fight. Don't break laws to get there. The law will get around to you eventually. Your chance at equality will come. But it never comes. You have to push it. British Prime Minister William E. Gladstone said, "Justice delayed is justice denied."
What's ironic is the fact that she was a female journalist, a member of the National American Woman Suffrage Association, and must have been the victim of the same kinds of efforts to slow her progress into the male dominated world of journalism. In fact some of the same protest methods were used in the Women's Suffrage Movement. It's an irony that stands out as starkly as the hat on her head.