This is:
And if in a friendly relationship it is the girl who acts as the initiator of intimacy how to refuse her and not offend her at the same time. I want to be friends."
Tell her if you really are a friend. It will hurt, but only once. Because all of these "always together / hugs/etc." give the girl a ghostly hope. Constantly thinking what’s wrong with you/and suddenly he’s just embarrassed/have to wait more... and so an endless cycle.
be honest. And then she will decide for herself if she needs you as a friend, without a chance for anything more.