Kim Davis came 55th in the poll of 60 and was beaten by Abu Bakr al-Baghdadi who came in two places ahead of her.
The poll does not decide who gets the award, that decision is made by the magazine's editorial team who said the title goes to someone who has changed the world, even in a negative way.
Democratic presidential candidate Bernie Sanders topped the list.
Ms Davis shot to fame in September when she defied the US Supreme Court ruling that gay people could get married.
The Kentucky clerk was jailed after she repeatedly refused to issue marriage licences for same sex partners.
She had not allowed the wedding of two men to go ahead because, she says, it goes against her Christian faith.
Asked on who's authority she declined to give the licenses she replied "God's authority".
The United States has placed a $10million bounty on Abu Bakr al-Baghdadi who they accuse of being responsible for the deaths of tens of thousands of people.
He is said to be the mastermind behind Islamic State's rapid spread across Iraq and Syria.
His terror group has also claimed responsibility for a number of attacks including the shootings in Paris, bomb attacks in Beirut and a stabbing at a London tube station.