Loosen security for a Google account. "Sign-in attempt was blocked"

I had an internet failure yesterday and in order to open a support ticket with my ISP, I should use the fallback to the cellular connection with my router.

I was surprised when it came to getting emails from GMail through TheBat Software. It reported:

FETCH - Server reports error. The response is: -ERR [AUTH] Web login required: https://support.google.com/mail/answer/78754

for all my mailboxes.

Now that internet access is back I've been able to get email through The Bat as usual and received Google security alert mails:

Sign-in attempt was prevented

How to tell Google to stop "protecting" me and to tell that I know all the security cons and I want to take the risk of loosening security rules for my account?

(of course, I'm not that naive and I know that Google's primary job is to collect my personal data).

P.S. I think it's a very bad idea to discuss Google's behavior on Google's own forums.