He could sense the struggle going on - this one was prepared and must have known about magic. No wonder Rodolphus was interested in her. He kept the innocent look on his face, taking the opportunity to step in through the open door.
But once inside, he grabbed the door, closing it and quickly casting a full body bind on the woman. "I'm terribly sorry, Ms Scawton, for the inconvenience," he said still politely as he grabbed her body by the arm. "But I'm afraid that your presence is required elsewhere at present, and the subtle subterfuge was necessary to gain an ounce of your trust.
He didn't linger, his wand fully out now as he cast a spell to cover her eyes and block her ears. He didn't like to take any chances, and this bit of Muggle filth wasn't as stupid as most of them.
Pulling her in close, he apparated her directly to the Upper Slaughter, the entrance to the dungeons just before him. She was still bound, and he cast a levitation on her, pushing her in front of him as he brought her to the cells where Lestrange would be waiting.