Unfortunately for Lingle, she's got a record from her tenure as governor, and her record on rape and abortion is extreme.
When she was Governor of Hawaii, Lingle vetoed a bill that would have required hospitals to provide emergency contraception to rape victims who wanted it, citing hospitals with religious objections. She even boasts about the veto on her website.She does indeed boast about the veto on her website, here:
At the time, there was only one Catholic hospital system in the state, St. Francis Medical Center, which would probably not have received any rape victims anyway, since it did not host an OB-GYN program.
With the stroke of a pen, Lingle potentially denied critical health care to raped women, potentially forcing them to become pregnant by their rapists. That's just as extreme as Todd Akin, or Paul Ryan, or any other Republican.