It would be your email provider. The server with the authority to send to the world using your "From" address. The details are provider specific.
See this comment:
Part of the difference will depend on what version of Ignition you’re running…
In 7.7.x, you’re probably referring to the set up you can do when you make the email notification profile. This is where you set up the “constant” parts of the alarm notification like the hostname, port, etc.
The Email Settings area in the Gateway (under Configuration) was originally added for the new Reporting module in 7.8.0. This lets you set up (and test) a SMTP server one time, and then use it by name in all yo…