That police chief was Charlie Fannon, Palin's appointee. One can only assume that she supported Wasilla's policy of billing rape victims for their own rape kits--the kits police and hospitals use to collect evidence after a rape--not only because Fannon was her appointee, but also because this was four years into her tenure as mayor and because, let's be honest: in a town of that size, the mayor doesn't get to plead ignorance of policies or public statements of her own chief of police.
What was Fannon's rationale? He didn't "want to see any more burden put on the taxpayer."
Palin was willing to raise taxes to build a sports complex. Her police chief was unwilling to use public funds to investigate rapes.