—I’m a little thirsty. Would you mind me some water?—.I’ll do it right away. A. to pass;

—I’m a little thirsty. Would you mind me some water?
— .I’ll do it right away.
A. to pass; OK B. passing; Certainly not C. passing; Of course

解析：考察固定句式。句式Would you mind doing你介意做某事吗？动名词表示抽象动作，Certainly not当然不了；Of course当然了。句意：我有点渴。你介意递给我一些水吗？根据下文，我立即给你。可知选Ｂ。

你的回答很对