Privacy Scanner can only check your Google+ profile for privacy concerns, not your Google account. If you keep seeing the "Once the Google+ site opens again automatically, please leave it open to scan the settings" message, you can probably solve the problem by following these recommendations:
You must not close any browser tabs opened by the Privacy Scanner until it has finished.
You have created a Google+ profile, and not just a Google account.
Your computer can connect to the Internet.
This error message appears if something unexpected happens. To solve the problem:
Make sure that your computer can connect to the Internet.
Do not close any browser tabs opened by the Privacy Scanner until it has finished.