The Doctor is shot twice when he's caught in the middle of a gang fight, though there's no blood.
The Master, in the form of a snake, enters a man's mouth and takes over his body in rather grotesque fashion. Later, as the body begins to decay, he is seen removing a bloody fingernail and flicking it away.
The Master snaps a woman's neck (offscreen but we hear the sound, though the BBC broadcast censors this).
The Doctor is shown in some sort of torture device that forces his eyes open.