While it sounds far-fetched that a fantasy character could be based on a politician, try to remember that the writers of WoT are from two of the most consistently Republican states, South Carolina & Utah.

That being said, both are women with remarkably light resumes, who coasted into positions of power drafting on their associations with men, especially men to whom they were supposed to be committed for life, but who have made a habit of having sex with several other women. Despite a great many objective reasons to criticize either one, their defenders routinely accuse critics of sexism. Both are supposed to be among the most powerful women in their worlds, and champions of their gender, but routinely betray and undermine other women for their own political ambition.

Both women, at the peak of their political careers, claim authority over the foreign policies of the most powerful government in the world, in exchange for surrendering supreme military command.
- Hilary Clinton was Secretary of State for the US, appointed as part of a political deal to support her rival in the party becoming President of the US, which position is also commander in chief of the armed forces.
- Egwene tricked the Hall of the Tower into trading exclusive authority to negotiate with other governments in exchange for control over the Tower's army

Both women defied and tried to take control of the leadership of their side from a vastly superior man for the job. That man's father is from a foreign land to the east, where warriors fight with short spears. Both women's husbands, at some point, made classist slurs against the rightful leader.
- Gawyn whined about Rand "casting down thrones"
- Bill Clinton complained that a few years before, Barack Obama would have been serving the Clintons coffee.

Both women are prone to flinging objects in a fit of temper, whether vases or inkwells, as well as engaging in underhanded political tactics they try to keep secret, like blackmailing supporters or keeping private e-mail servers, or keeping unsavory people from previous administrations as advisers, despite their disfavor with the current popularly-elected authorities.
- Siuan Sanche
- Sidney Blumnethal

Egwene is also, like Hilary, something of a war-monger, and needlessly antagonizes the leader of the largest country outside her people's sphere of influence. If only there were someway to convince Ms. Rodham-Clinton that she needed to fix balefire damage...