The most common and most likely answer to this crossword clue is the 11 letter word SUFFRAGETTE
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More clues leading to the result SUFFRAGETTE
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The straight part
We know that "One fighting for rights" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one fighting for rights = suffragette.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does SUFFRAGETTE mean?
SUFFRAGETTE noun- A female supporter, often militant, of women's right to vote in the late 19th and early 20th centuries.