I haven't looked into the background behind Brianna Wu declaring her opponent is privileged, but I don't think this requires context:
Privilege Theory lets the privileged feel like they're Robin Hood instead of Prince John.
There's a great deal more about Wu's privileged past at a conservative site:The Wacky World of Wu: The Tortured History of Gamergate's Self-styled Feminist Martyr.
ETA:
Published on March 03, 2015 11:46