You are not displaying merely when you are hugging or kissing, you are also displaying when you refuse to even touch each other, that too is a particular quality of the display.
So, all kinds of displays play a part so come to the central point:
‘Who are you and why are you being seen walking with the other, what is the other bringing to your life and what are you bringing to the other’s life?’
Are you in a relationship that would really enhance each other or would the relationship actually degrade the two of you?
Remember, if the relationship is such that it enhances the two of you, then it would also enhance the rest of the world.