Miss Cate wants to use her sub anywhere, any way any how.
If this means he is on his knees in a public courtyard waiting to be her human ashtray, then that is, exactly, what it means.
Miss Cate stands there Domineering in her leather jacket, blowing smoke and flicking ash into the mouth of her sub.
She spits, not into his mouth to cool the ash, but into his face – to humiliate him publicly.
She ends by stumping out the cigarette in his mouth, before leaving him covered in ash and spit.