Who will believe when an opposite gender said they didn't had feeling towards each other?

A man and a woman, share their meals together.

The man always kiss her hands and said to her take care, every time he drop her at her house.

A woman who is comfortable with his presence and same goes to him.

A woman feel save when he hold her hand.

They take a good care about each other.

Is this just a friend relationship or more than that?

They realize their feeling towards each other, but what will they do?