"No one accuses me of appeasement when I attend programmes of the Hindus, Christians or Buddhists. This charge is levelled only when I attend programmes of the Muslims," she said after inaugurating a Durga Puja pandal here.
"Such utterances are insulting," she said, adding, "I attend functions organised by people belonging to all religions and faith.
"I believe in all the religions. I feel angry when those, who have no idea about Bengal, give advice," the Trinamool Congress (TMC) supremo said.
Her statement came in the backdrop of the Calcutta High Court today allowing the immersion of Durga idols on all days from Vijaya Dashami (September 30), including on Muharram (October 1).
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Without naming any party, Banerjee alleged that some people were spreading canards.
"They are belittling the festivals of Bengal," she said.
The chief minister said crores of people participated in Durga Puja in Bengal and added that it could not be equated with any other festival.
She also alleged that the BJP-led central government was "conspiring against us through various agencies".