The most common and most likely answer to this crossword clue is the 10 letter word SUFFRAGIST
I've seen this crossword clue in Independent
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More clues leading to the result SUFFRAGIST
Buddy explains!

The straight part
We know that "advocate for voting rights" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case advocate for voting rights = suffragist.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 SUFFRAGIST mean?
SUFFRAGIST noun- A person who promotes suffrage.
- One who votes.