Sandra Finley was found guilty in 2011 of contravening the Statistics Act after she refused to fill out the questionnaire.
The provincial court gave her an absolute discharge, meaning she did not face any fine or jail time.
She argues that the act violates her right to be protected from unreasonable search and seizure.
Her main objection to the census focuses on a software contract Statistics Canada awarded to Lockheed Martin, which is also a major military contractor.
As usual, the court gave no reasons for its decision not to hear the case.
Also on HuffPost