I am using Debian 8 and I would like to be able to only send mail via python without installing a full blown mail server system like postfix or without using gmail. 
I can only see tutorials to send mails with python with full mail system server or via gmail or other internet mail system. Isn't it possible to just send an email and don't care about receiving any?
Thanks.
Well, you need a mail server. Either locally, on your machine, or somewhere on the internet. This doesn't have to be gmail.
Sending mail via python