Why is 做 in the sentence 不知道大家觉得做女人最大的悲哀是什么？
做 here is a verb, according to Oxford, meaning:


  5 充当 be


they give three examples:


  做个好孩子 
  be a good child 
  
  做老实人 
  be an honest person 
  
  做秘书 
  be a secretary 


Pleco's PLC dictionary also has this verbal meaning:


  4 be; become
  
  做演员 
  zuò yǎnyuán
  become an actor or actress; go on the stage 
  
  后来她做保育员了。 
  Hòulái tā zuò bǎoyùyuán le.
  Later she became a child-care worker. 
  
  今天开会由你做主席。 
  Jīntiān kāihuì yóu nǐ zuò zhǔxí.
  You’ll be the chairman at today’s meeting. 




做女人 means, as the subtitles correctly translated above, to be a woman.