The UK's highest court began hearing the appeal on Tuesday, with five justices considering whether Field could have made Mr Farquhar cause his own death without being legally responsible for the act.
Field, 35, was jailed for at least 36 years in 2019 after being found guilty of murdering 69-year-old Peter Farquhar in Maids Moreton, Buckinghamshire. Prosecutors said Field drove Farquhar to believe he was losing his mind, secretly drugging him and spiking his whisky so his death would appear to be suicide or an accident, allowing Field to inherit his home and money.
In April, appeal judges quashed Field's conviction and ordered a retrial, but said the CPS could take the case to the Supreme Court first. The hearing was due to conclude on Tuesday, with a decision expected later.
Before his murder trial, Field admitted burglary and fraud offences connected with relationships he formed with Farquhar and his neighbour, Ann Moore-Martin, to persuade them to change their wills. He received a concurrent 16-year sentence for those offences. He was cleared of conspiring or attempting to murder Moore-Martin.
The case was previously adapted into the Bafta-winning BBC drama The Sixth Commandment, starring Timothy Spall and Anne Reid.