Welcome to the Atlassian Community! Nick here from the Broadcom team!
There is no way to create/update/resolve incidents via email. You either can do this in the Management Portal or via the API (https://developer.statuspage.io/).
I'm not sure if this would work for you but could you set up something like Mailgun to accept inbound email and set up an incoming route to the Statuspage API? I haven't tried this myself as we use the API directly at Broadcom.
Product Owner - Service Status, Broadcom
We're excited to announce the release of a long-requested feature on Statuspage. Now visitors to your status page can subscribe to get notified in Slack when you report an incident or maintenance. Th...
Connect with like-minded Atlassian users at free events near you!Find an event
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no Community Events near you at the moment.Host an event
You're one step closer to meeting fellow Atlassian users at your local event. Learn more about Community Events