Her move leaves a vacancy for a mayor which is likely to go to Dr Navi Muradali, a member of the Congress of the People (COP), who is currently the deputy mayor.
COP was angry in February when Coudray announced that she would run for a post of Deputy Leader of the United National Congress (COP), demanding that a COP mayor be appointed to replace her.
Coudray stood her ground and won a seat in the UNC executive but never resigned.COP Leader Prakash Ramadhar told reporters Sunday he expects Muradali to be automatically promoted to the post.
"My understanding, unless otherwise advised, is that the law now provides for automatic elevation of the deputy mayor (Muradali) to the position of Mayor there being only one year before (a Local Government) election," Ramadhar said.
"We know the capacity for work that Dr Muradali has, his commitment to the people and what he has already done in San Fernando. We are quite excited about the work that he will continue to do. (We believe that) the work of the Council in San Fernando will be continued with an enhanced sense of enthusiasm."
Muradali did not have the best working relationship with Coudray but he is ready toi bury the past and move on. "I will continue to work with everyone in the San Fernando City Council," he told reporters Sunday.
"The work must continue in the City of San Fernando. The first order of business would really be to ensure that there is unity among all the Councillors because the only way we can move forward is if we bring that unity within the Council.
"We must continue to listen to our burgesses. They have a lot of concerns about what has to be done. There is a lot to be done and we must complete this before the next Local Government election."