Das' blood-soaked body was recovered from her residence on Thursday evening, police said.
"The death was caused by a bullet injury. We are investigating if the woman had any political or personal rivalry," police added. No one has been arrested yet.
The 24 Parganas district has been on the boil since last Saturday, when at least three people were killed in violent clashes between TMC and BJP workers in Sandeshkhali. The BJP alleges that two of its workers were shot dead by TMC-backed goons.