"If, after some time, the woman initiated some innocuous physical contact (shoulder & arm touching, for example), I would not reciprocate in kind. No, I would reciprocate with more platonic interest. This might be slightly disappointing at first, but it would build trust. Physical reciprocity only later, like a long-delayed echo."

At which point she would think you aren't interested in her and then move on mentally and physically to someone else.