Sometimes Email Account Stops working on your New Phone at the time of the first Setup. It should look like below
Action requires to sync email is a common error message when there is any change in the account settings which could be due to intentional account changes or changes done by someone else when Hotmail Account Gets Hacked!
To fix this problem, click on the email and select the second option which is “Continue using this app” that should fix the problem.
and if the problem still exists then uninstall the existing official app and try with the new email app. it should work fine