Bright has sought to judicially review the council's decision to pursue the sale of her house under the Local Government (Rating) Act 2002.
That would see an examination of the legality of a decision or process, the ruling said.
Justice Mathew Downs noted that no date had yet been set for such a hearing and that the interim relief - which was sought until such a judicial review took place - would not be appropriate.
"Ms Bright's circumstances are unfortunate,'' Justice Downs said.
"However, those in relation to the council are entirely her own fault. Interim relief would not be appropriate even if the threshold for relief had been crossed - which it has not.
"It is not open to a ratepayer to boycott rates or engage in a rates revolt for more than a decade and then argue statutorily envisaged consequence should not follow; no one is above the law.''
Late last week, Bright revealed she has been diagnosed with stage 3 ovarian cancer. Doctors have said it is incurable and inoperable.
The activist said: "The massive stress I have been subjected to over the forced sale of my freehold home has gone straight to my gut.''