his contract following his conviction.
Her resignation comes after Sheffield United released a statement on Tuesday saying Evans would be allowed to train with the club. It said the club had not yet decided whether to re-sign him.
Ms Webster told Newsnight that "nobody" was making a decision about Evans, adding: "I suppose I feel I need to make a decision as patron of Sheffield United."
"My decision is made on the fact that I don't believe a convicted rapist, as in Ched Evans, should go back to a club that I am patron of and should go back into the community to represent the community," she added.
Ched Evans Ched Evans played for Sheffield United before he was jailed in April 2012
"He's not just going into a job, he's bandied as a role model, we cheer him on as a role model and he's influencing the next generation of young men who are currently still making their decisions on how to treat women and what sexual mutual consent is."
Ms Webster - who in an interview earlier this year revealed she was sexually assaulted as a teenager - said she had had a "positive" conversation with chairman of the Sheffield United before resigning.
It comes after campaign groups criticised the decision to allow him to resume training with his former club.
Almost 157,000 people have signed a petition urging Sheffield United not to take the player back after the club chose not to renew his contract following his conviction.
However, Sheffield United said there could be no place for "mob justice" in making a decision over his future.
The club said it had considered the views of staff, the Football League and the PFA, as well as the club's supporters and the general public.
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