In November, following a meeting with all parties, Corrections confirmed that Ms Hill's prison access would cease, and she was fired by Workforce.
The Employment Relations authority upheld a claim from Ms Hill that Workforce did not support her during the process, such as provide her with professional advice.
She was awarded more than $11,000 in lost wages, and $8000 in compensation.
But that decision was overturned by the Employment Court, which found that while Workforce could have done more, it did not breach its obligations as an employer, and that the decision to dismiss Ms Hill was justifiable.
Ms Hill applied for leave to appeal that decision on two points of law.
The Court of Appeal found the matters raised did not raise a question of law, or were not of the importance required to justify an appeal.
The application for leave to appeal was dismissed.