The problem comes when the author steps back too quickly to take stock of the situation.

Mary had come into the room behind him, and now she stepped around quickly.

He stepped quickly across the room to take my hand.

He stepped quickly inside and closed the door behind him.

She stepped quickly around him before he had a chance to back further away.

Before she could move, he quickly stepped in front of her.

He held the door open for her, and she stepped quickly through it.

The man at the door stepped quickly into the living room.

I stepped quickly to one side, and she passed me.

He stepped quickly over to the side table set against the far wall.