Recommended · for some experience
ESP8266 Send Data To a Website (ESP-01/ESP-12)
Why people recommend it
Offered as a helpful example for getting an ESP8266 and Arduino sending data to a web server over wifi.
Watch for: Battery life was poor for one person who built it
In their words
In that case it depends on the interface of the other server that you are pulling the mail from - the easiest might be from a web interface, in which case something like this could work
user2813274 on arduino.stackexchange.com, Aug 2015. CC BY-SA.