A row had erupted after the national award-winning lyricist had reportedly made the comments against Andal, a Hindu Goddess, at a function in Rajapalayam.
Police said a case was registered against Vairamuthu based on a complaint from a Hindu Munnani functionary, adding, investigation is on.
The complainant Suri stated that devotees of Goddess Andal were hurt by the poet's remarks, police said.
Meanwhile at Coimbatore, a group, led by Sadagopa Ramanuja Jeeyar of Manavala Maamuni Mutt, staged a demonstration near a temple demanding that Vairamuthu tender an apology.
They threatened to go on an indefinite fast if he did not do so by January 16.
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