Economist Vicky Pryce, who spent two months in prison earlier this year, has said that women behind bars have "special needs".
She said it was not a case of making prison "softer" for female offenders, but of minimising the wider impact and costs on society.
Pryce was sentenced to eight months in prison in March for perverting the course of justice by taking speeding points for her former husband Chris Huhne in 2003.
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A police raid uncovered what is believed to be cocaine that had been stashed in nappies, and 40 cannabis plants.
The prince attended the rugby match in his role as patron of the Invictus Games Foundation, the official charity for this year's game.