The remarks were made by Shah while addressing a function in tribal-dominated Jhabua district two days ago.
What raised the hackles of BJP was a passing reference Shah allegedly made about the wife of Chief Minister Shivraj Singh Chouhan during his speech.
"The party has taken the issue seriously and it is totally unacceptable to it. We have asked him (Shah) to clarify his position on the matter today itself", state unit BJP president Narendra Singh Tomar told reporters here today.
However, Shah has already tendered an apology, accusing the media of "misconstruing" his remarks by takingthem out of context.
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"If anyone felt offended by my speech, I apologise ten times. Whatever I said was in a lighter vein but it was distorted by the media", he said.
However, Shah's apology failed to cool the tempers with opposition Congress taking to streets against his "derogatory" remarks.
The women wing of state Congress burnt his effigies at Jhabua, Indore, Bhopal and Khandwa among other places even as the State Women Congress president Archana Jaiswal demanded immediate sacking of the minister and also questioned the "silence" of leaders of BJP women wing on the issue.
"If he (Chouhan) has any concern for women's respect, then he should immediately dismiss the minister from the cabinet", they said addressing a party rally in Mandla district.
Efforts to contact Shah over phone proved futile.