He quit as Bishop of Gloucester at the start of August after he was questioned by police investigating allegations of historic sexual assault.
The 66-year-old spoke to police voluntarily just days after resigning for 'personal reasons'.
Members of the public will be able to discuss what they would like to see in the next bishop.
It is the first time the Church of England could choose a woman for the role.
The meeting at 7pm in Chapter House of Gloucester Cathedral will be chaired by the Venerable Robert Springett, Archdeacon of Cheltenham and chair of the diocesan's Vacancy in See Committee.
He said: "The open hearing is a really important opportunity for anyone who wishes to express their views of what they require from their future bishop."
A new bishop is expected to be confirmed by spring 2015.