It was definitely a wrong move by Kavya, to go to Anubha alone in the night, though her intentions were correct. She should have asked Adi to come along/gone with him next morning. That was unexpected from Kavya's character, who supposed to be quite intelligent.
She knew clearly that, Anubha is upset with her and thinking wrongly. She also knew Anubha would listen to Adi and understand him.
A simple discussion with Adi and go along with him and clear Anubha's doubts would have solved the matter. All looked like a forced drama here.