This uses a combination of letter extraction and a synonym. One part involves taking the essential/middle letter from a word, while another part uses a political synonym.
Look for the middle letter of 'Censors' (what's essentially in the center?). Then find a synonym for 'blue' in political terms - think about which political party is associated with the color blue.
Answer: STORY | Take the middle letter of 'Censors' which is S, then add TORY (the Conservative Party, known as 'blue' in British politics). S + TORY = STORY.