A developer can rapidly build and deploy a contact center using Twilio Flex to save lives during natural disasters. The contact center categorizes incoming calls, routes them to the right team, and integrates different tools into Flex. The setup involves defining who the call center is for, categorizing inbound calls, routing calls to volunteers with specific skills, and showing a custom interface for each type of call. The developer uses Twilio Studio to categorize calls, Taskrouter to split calls into queues based on volunteer skills, and Flex to show different tools to volunteers depending on the task type.