The Kerala state legislative assembly adopted a motion on Monday demanding protection for people's livelihoods and the removal of the lawmaker, Praful Patel.
Adding to the bad feeling, a protest against a local official's comments on drug abuse resulted in 23 arrests, according to Indian media.
Scores died over the weekend in hospitals hit by shortages that have forced clinics in the capital New Delhi to send urgent appeals for help on social media.
With 368,147 new cases over the past 24 hours, India's total infections stand at 19.93 million, while total fatalities rose by 3,417 to 218,959, according to health ministry data.
In a late surge, India has reported more than 300,000 coronavirus cases in the past 24 hours, the highest global daily total.
The country now has a total of 15.93 million cases, the second-highest tally in the world, while deaths jumped by 2104 to reach a tally of 184,657, according to data from the Indian Health Ministry.
India reported 234,692 COVID-19 infections over the last 24 hours, taking the total number of cases to nearly 14.5 million, second only to the United States. Deaths in the country from COVID-19 rose by 1,341 to 175,649.
Experts have warned about the spread of more contagious variants of the disease, with especially during large-scale gathering for religious festivals and political rallies.