Startup Idea: Centralized Email Filtering Application

Startup idea to create a software tool that consolidates email from various accounts, filters the important ones based on customized user criteria such as key words or sender, and places them into a single location for efficient management.

I am a high school teacher, a student, a part time college professor, a small businessman, and a volunteer. I have 3 email accounts and emails coming at me from every directions. It would be nice to have a program/app that I could allow to access ALL my email accounts, pluck out the messages I know are important (I could give the app the criteria for what is important (certain senders, certain key words), and place these messages in one central location.

Yes I would pay for this.