Tony didn't really think too much about appearing weird to the woman. He was used to people in New York recognizing his suit, so he didn't introduce himself. There wasn't any time for pleasantries anyway at this point.
When he arrived, he flew down to where she was, landing just next to her. Is there anyone else? He tilted his head to scan the building for other life. If anyone was left, they were already dead because he sensed no other lifeforms.