The only emotion Peter feels more strongly than guilt is responsibility. Maybe it's because it's one of the last things his uncle ever said to him before he died all because Peter was not responsible. He did not do good when he had the power to do good, and his uncle paid the price for that. Never again. As soon as he feels the shaking, he exits his room and follows the feeling of it. Spiders are good at feeling vibrations and following them to the source since it's the main reason they have webs to begin with.

When he does, he sees the woman running towards the door, and Peter follows without hesitation, running with all that super speed to catch up with her as they make it outside.

"Hey. Are you okay? You're-" earthquaking......