The Police Federation, the staff association for lower rank police officers, said it was working with Sgt Tompsett to find an MP who would sponsor a debate.
The appointment has been questioned by the Police Federation, which represents rank-and-file officers and the Police Superintendents' Association of England and Wales, which said someone with "profound understanding" of policing was needed.
However, Joe Grant, secretary of the Scottish Police Federation, said rank and file police officers had reservations about the role civilian workers would have in taking statements which will be used as evidence in court.
The commission conducted the survey with the assistance of the rank-and-file Police Federation.
The woman, whose husband worked in the criminal investigation department, graduated from the national police academy six years ago with the rank of sergeant.
But Glen Smyth, chair of the Metropolitan Police Federation, which represents rank and file officers, described the decision as "incredible".
The Police Federation represents 140, 000 rank-and-file police officers and earlier this year organised a march to protest at the government's proposed changed to pay and pensions.
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However the Police Federation, which represents rank-and-file officers, said central government should provide any extra money needed.
But Mr Reed, vice-chairman of the Police Federation, which represents rank-and-file officers, said Mrs May's talk of reform was "a euphemism for cuts".
Mr Mitchell came under intense pressure from the Police Federation - which represents rank-and-file officers - and which refused to accept his version of events.
The Metropolitan Police Federation, which represents rank-and-file officers, has rejected suggestions it could have been part of a "conspiracy" to unseat Mr Mitchell and insisted that it welcomes the investigation into the incident.
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Born and brought up in the northern city of Chiang Mai, he began his career in Thailand's notoriously corrupt police force, rising to the rank of lieutenant colonel and completing a Phd in Texas before resigning.
Triggered by the government's comprehensive spending review, police officers below chief officer rank with 30 years' experience were forced into retirement under the policy called regulation A19.
This week, the Police Federation, which represents 125, 000 rank and file officers, warned ministers that they are planning to stage mass protest rallies.
Hundreds of police officers from every rank and branch filed solemnly into the cathedral as thousands more lined the streets, boots and service medals shining in the autumn sun.
The rank-and-file of private armies are often members of official police or military auxiliary forces.
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Meanwhile, representatives of rank-and-file police officers in Northern Ireland also criticised the leaking of the draft report.
Dave Benfield, general secretary of Norfolk Police Federation, said it was a move likely to be welcomed by the rank and file.
Britain does not have one black or Asian army officer above the rank of colonel, nor is there a single black or Asian chief constable in the police force.
The rights of man do not rank high among the concerns of most of those who run the country, especially among the police and army.
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