The AIADMK General Secretary also regretted such attacks on women politicians, including herself, and said they should immediately come to an end.
She said "respected sister" Mayawati was being hailed as an "unparalleled" leader of the oppressed classes in Uttar Pradesh and elsewhere and recalled she had been raising the issue of attack on Dalits in Gujarat for the past few days in Parliament.
Women in politics often faced such 'atrocities,' she said, adding, "I have also faced such bad moments. My heart goes out to Ms Mayawati."
Union Finance Minister Minister Arun Jaitley expressing regret and Singh being relieved of all party posts was "some solace" but this was not enough, Jayalalithaa said.
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"I urge the BJP President (Amit Shah) to sack Singh, who has insulted women, from the party," she demanded.
Mayawati had also demanded Singh's expulsion from BJP.