Yes, and it is completely safe to press that blue link at the top and complete the auto-upgrade.
FIRST – I have one recommendation. Go to the plugin screen,
2 – Select all plugins using the top checkbox
3. Use the bulk options from the drop down menu to “deactivate” all the plugins.
4. Then proceed to click on the “upgrade” link at the top of your admin panels.
5. Go ahead and select “upgrade automatically”.
6. That’s it! Now you can go back to the post you were working on!
PS – on backing up your blog: if we have installed wordpress for you, we have installed a database backup plugin that should be emailing you a weekly backup or saving it to the server.
Backup your Contents Folder: The only thing this does NOT back up are your content folders, including your theme and plugins. If you have a custom theme installed, you really should go to the theme editor, copy the stylesheet, paste it into a plain text document (from Notepad or Crimson Editor or something similar). Save as style.css – or whatever the title is. Go back to the editor and start at the top, selecting each php document, copying all the text, and pasting into a text document. Go through each page that is marked on the right in your Editor. Then you should have a copy of most of your theme’s documents on your own hard drive now.
The simpler way is to use an ftp client, if you have ftp access. Download a copy of the entire “contents” folder for safe keeping. You should rarely be editing any wordpress files outside the Contents Folder. And if you are, you need to be working for us!
Happy Friday 13th!