Turner, who introduced a protest bill earlier this year that would restrict men's ability to get a Viagra prescription, said her Republican colleagues need to "get a grip."
"If they continue their pursuit to condemn women, we will not stand for it," she said.
The Ohio state Legislature may also reconsider during its lame duck session the so-called "heartbeat bill," which would ban abortions after the fetal heartbeat is detected, with no exceptions for rape, incest or life of the mother.
Turner confirmed in an interview on Tuesday that she is considering running for Ohio Secretary of State in 2014. "I'm considering all of my options, including that one," she said.