Giddings had been suspended from the force and was facing charges of sexual extortion, misconduct and bribery stemming from a shoplifting arrest he made in March at Christiana Mall in Newark.
The female suspect alleged that Giddings told her that he would not take her to court if she performed a sexual favor, and drove her a nearby location where the sex act occurred.
Investigators say DNA found in clothing provided by the woman matched Giddings' DNA.
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