In the complaint, the woman had alleged that she was sexually abused in a hotel in the city by the Kannur MLA and claimed he had threatened against revealing his name.
She also alleged that Abdullakutty used to make frequent telephone calls and many times the language used by him was abusive in nature.
The complainant, who is out on bail in the solar scam cases, had on March 3 made the allegations in the media, but Abdullkutty had then refuted her charges, saying they were "totally unfounded."
The complainant is a prime accused in the solar scam rocking the Congress-led UDF Government for over a year.
Abdullakutty was formerly with CPI-M and was elected twice on the party ticket to Parliament before joining Congress.