Swati said that she had lodged an FIR against the "misdeeds" of BSP workers led by Naseemuddin Siddqui "at the behest of Mayawati".
She submitted a CD containing video of the protest by BSP workers on Thursday and the Governor has assured that necessary action would be taken after examining it, Swati said.
She alleged that during the protest, BSP workers raised objectionable slogans against her mother-in-law, daughter and herself.
After Dayashankar had sparked an outrage by his derogatory comments against the BSP supremo, the party had on Thursday held a huge protest in Hazratbal and raised slogans against the BJP's now expelled leader's family.
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An FIR was filed against Mayawati along with general secretary Siddiqui and others on Friday on a complaint of Dayashankar Singh's mother Tetra Devi.
She had alleged that Mayawati used "abusive language" against the women members of the family and BSP leaders raised "derogatory" slogans at the protest in Lucknow on Thursday during which Singh's 12-year-old daughter was also dragged into the row.