Jolene Alterskye faced charges of crimen injuria for comments she made about the judiciary.
Alterskye made comments on social media and in a text message following Rohde's conviction and sentencing in February last year, after Western Cape High Court Judge Gayaat Salie-Hlophe sentenced the former real estate chief.
Alterskye later formally apologised to Judge Salie-Hlophe and prosecutor Louis van Niekerk.
Western Cape NPA spokesperson Eric Ntabazalila said: "The Acting Director of Prosecutions in the Western Cape, advocate Nicolette Bell, has withdrawn the charges against Jolene Alterskye, following her representations.
"In her representations, Alterskye makes an unequivocal apology to Judge Salie-Hlophe, Judge President of the Western Cape High Court John Hlophe and the NPA - subsequent to her disparaging remarks against the justice system and the state.