Earlier Sunday, the Kollam District Congress Committee rallied in support of Kurup.
The actress alleged the lawmaker tried to grope her during a boat race in Kollam Friday, where she was one of the guests of honour.
Saturday, she showed the "visuals" from TV channels, where the lawmaker was shown getting close to her during the boat race.
The withdrawal comes at a time when the actress was planning to meet Chief Minister Oommen Chandy Tuesday, to file an official complaint.
"There was a huge crowd, and in a crowded place, some jostling happens. She complained after almost six hours. Nothing of the sort happened, as she claims," district Congress president Pratapa Varma Thampan said.
Kurup, who was also present at the conference with Thampan, did not speak much. He said he had already had a word with the actress and her husband.
