A self-proclaimed witch who dragged a Victorian police officer with her car for 200 metres in Geelong has been jailed.

Eilish De Avalon, 41, was pulled over by Senior Constable Andrew Logan in February last year while driving without a licence.

The County Court heard she told him she was "from another world" and Victoria's laws and penalties did not apply to her.

She then drove off while the officer's arm was still in the window.

De Avalon pleaded guilty to recklessly causing serious injury and dangerous driving.

But she told Judge Geoffrey Chettle: "I decline your offer, Your Honour," after he jailed her for two months.

Judge Chettle responded: "You decline my offer? I'm sorry, it's not negotiable."

Senior Constable Logan needed hospital treatment after suffering serious injuries to one of his biceps, arm, shoulder and chest as a result of the incident.

Judge Chettle said it was incredible that he had been able to hang on.

He said police need to be protected when carrying out their work.

De Avalon, a former journalist who now works as a marriage celebrant, pleaded guilty to charges including recklessly causing serious injury.

Last year she was jailed by a magistrate for two months, with a further four months suspended, but appealed against the sentence.

Judge Chettle reimposed it.

- ABC/AAP