Follow the steps for deploying Django with Apache and mod_wsgi.
This means that the WSGIDaemon runs under the user www-data, which is a special linux user for Apache.
If you have to connect to the internet, you need to set the $http_proxy and $https_proxy variables. Set them in your /etc/environment file.
This still doesn't mean that the environment variables are set for the www-data user.
You need to set the same in the /etc/apache2/envvars file, which sets the environment variables for the www-data user.