In his judgement, Justice Robert Chambers said the appellant would become eligible for parole in March next year and his appeal was unlikely to be heard before late February.
Chambers had been convicted in April this year and sentenced in May but did not file his appeal until September 27.
His age and "serious health issues" were given as reasons for seeking bail, as well as the lengthy wait for an Appeal Court hearing.
There was no suggestion that the appellant's health had deteriorated since sentencing or any evidence that his health needs were not being met in prison, Justice Chambers said in his ruling.
"I am not satisfied on the balance of probabilities that it would be in the interests of justice to grant him bail pending appeal."