"So, she offers physical contact to see what your level of desire is for it. So, next time she asks you if you want a hug, smile, look her in the eyes and give her this reply, "Do you want to give me one?"
Asking her "do you want to give me a hug" is not a good DB approach if you ask me. To me it is simply more of the same behavior which got shaves here in the first place. Women want a strong man who is decisive..... Look at your response to what she asking... W - shaves do you want a hug? S - do you want to give me a hug?