Google appears to now authenticate us using current location, as well as account name / password. We see occasional reports, in Blogger Help Forum: Get Help with an Issue, about new security procedures.
This blog owner is finding a problem, with Google taking extra measures to protect our accounts and blogs.I am traveling, and I need to access my Blogger account from another country. I know my account name and password - and I logged in successfully. But after logging in, I am still being asked to prove my identity!!
Google is trying to protect us, from people who access the Internet from different countries - and who try to access our Google accounts, and steal control of our blogs.
Somebody in a foreign land, accessing your account, may not be you.
If you normally access the Internet from your home, and you travel to another location and try to login to Blogger / Google, you may be asked for additional details, to prove that you are the legal owner of your Blogger account. You may feel like you are being treated discourteously, when this happens.
In reality, Blogger is simply trying to keep your blogs under your control, by preventing people other than you from stealing your Blogger account, blogs, and email account - and possibly, your friends Blogger account, blogs, and email account.
When you travel, you spend time preparing for the trip.
When you prepare to travel to a distant country, you are responsible for getting your travel documents (passport), permissions (visas), maybe make health preparation (update immunisations, get extra medications) - and learn a minimum amount of the local language, before you go.
Maybe you should also spend some time getting your Blogger / Google account in order (update any backup details, such as backup email address and phone number). Even, plan an account recovery, from time to time.
This is an excellent time to try 2-Step Verification.
You might even consider setting up Google 2-Step Verification - and generating a set of one time backup authentication codes.
If you don't prepare your account for travel, you may have to wait until you get home, to post to your blog. You may even be asked for proof of identity, when you get home, too.