Entering in the Muggle's back door to her kitchen presented a whole new set of dangers. If Hermione refused to enter, the woman might take it to mean that she was running from the authorities or something worse. A simple call to the right department and Muggles all over the area would be looking for a woman matching her description. There were spies everywhere. It wouldn't take long before Death Eaters were involved in the search. Of course, once she was inside the house, a lot could go wrong too. She had to be careful. Had to keep her eyes completely open and not grow complacent for a single second.