The actor, earlier on the day, broke the news of her wedding to political activist Fahad Ahmad.
The actor broke the news by sharing a wedding announcement video on social media.
Bhaskar, a vocal critic of the communal forces and authoritarian trends in the country, was delivering the sixth Dr TK Ramachandran Memorial Lecture at the TDM Hall.
She had been involved herself in care of orphaned children, and is also championing the campaign to raise awareness about the orphan crisis in India.
The complaint has also named Mohammad Asif Khan and was filed on June 16 at Tilak Marg police station by an Advocate Amit Acharya.
Swara took to her Twitter account and slammed Kangana by asking her to keep all the venom to herself.
The furore happened when after a video clip from the chat show 'Son Of Abish' surfaced.
A video spreading like wildfire on social media shows Swara using the swear words for a child actor with whom she worked with in an advertisement shoot during her early days in the film industry.
Swara stressed that their stories should be heard.
Swara was promoting the second season of her web show 'It's not that simple.'