Welcome to the Community, Hubert! 
For your sending email address, it’s best to use a non-gmail email address. You’ll specifically want to set up a domain-based email address (like name@example.com) through a domain provider. This will allow you to authenticate your email address so that emails sent from AWeber can reach the inbox as often as possible.
If you send from a gmail email address, the emails will still send out, but there is a high likelihood that the messages will be filtered to spam or rejected, as gmail email addresses are not meant for sending bulk emails and cannot be properly authenticated for sending bulk emails using a platform like AWeber.