What HASN'T been handed to her on a platter? If she hadn't been associated with Rand, she'd not have left the Tower in tGH and would not have been chosen to hunt the Black Ajah or skip the years of training before being allow to test for Accepted. If not for those events, she'd NEVER have been chosen Amyrlin for another century or so, and would not have been Aes Sedai anytime soon. She was summoned and named Amyrlin. She did not put in any time or effort, she didn't even earn the shawl before she was given it with the Amyrlin seat, which was given to her not in appreciation of her virtues, but in recognition of her shortcomings. She was handed a blackmailed advisor to help her overcome her instincts that would have had her deposed or bound hand and foot to Romanda or Lelaine. She was handled a captive Forsaken to enable her to produce discoveries to impress the sisters. She had Verin show up and hand her a list of the Black Ajah, she had followers come into the Tower to rescue her when she was wiped out from the battle, and then the real Hall decides to name her Amyrlin because they can't stand one another. She has not contributed anything to anyone related to the cause of the fight against the Shadow, aside from the White Tower. Rand's advice that helped her figure out how to Travel was far more help than she ever gave him. Egwene has been handed EVERYTHING because she happens to know people with real power and accomplishments whose idea of loyalty and friendship is far stronger than her own.

WHAT is handed to him on a platter? Money? So what? He has had to pay for everything. He got the Band because he saved their lives and proved his leadership by defeating Aiel in multiple engagements. Name a wetlander general who had done that before Mat. And his luck works mainly to force him into danger to get things done. The goodies that come along are just to balance having buildings dropped on his head, or the leader of the Shaido trying to carve a path through Mat's troops, or evil daggers giving him brain damage, or the Horn of Valere painting a massive target on his back. Additionally, Mat doesn't WANT power or glory (as he proved by blowing the Horn), whereas Egwene does.

Blow it out your ass. That is a stupid and reflexively thoughtless argument that proves you only don't