We just released version 1.0.1 which may resolve that issue for you, please give that a shot. If you still encounter the error please get in touch with our team directly so we can troubleshoot your specific account.
http://wordpress.org/extend/plugins/aweber-web-form-widget/
Contact us:
https://www.aweber.com/contact-us.htm
-TomK
Thanks Tom
The update now allows the setting to be saved without giving an error message but the message: “AWeber Web Form requires authentication. You will need you to update your settings in order to continue to use AWeber Web Form.” still appears above every page and the widget either never finishes loading or gives an error: “An error occurred while loading this control.”
Version 1.0.2 should provide some additional error handling that will give a better description of the problem. If you could try that and contact us directly if you continue to have problems so we can troubleshoot.
https://www.aweber.com/contact-us.htm