Harry is transferred from Privet drive to the order stronghold of 12, Grimmauld Place. Dumbledore's presence allowed the task to be completed without casualties, though a battle did break out before the Death Eaters retreated. Fudge had been replaced by Rufus Scrimgeour, who earlier headed the Auror office, was not a buffoon by any standards. He understood the gravity of the breakout and it's effects. So, it was decided to keep the news under wraps, which meant Hermione had a much easier time hiding in plain sight. A wand really is all you need if you're as competent as the brightest witch of her age, and confunding muggles and wizards into giving up their cash helped her immensely. An insane witch is dangerous, but a smart and slightly insane one, that's how Psychopaths and Serial Killers are born.