I recently started using Hustle plugin and having the exact same problem.
I remove Aweber integration and add back again with the newly requested authorization code from Aweber.
It works for a while, and boom, happened again yesterday. Email not sent to Aweber.
May I know is there anything I can do to fix this problem? I’m not sure when will the plugin stop working again. I have to manually check it every day to make sure all email addresses are sent to Aweber.