Edit: After half day, my wife’s Mac started having the same problem. I have then applied the solution that I found in the Apple
iTunes Radio Now Available In UK ?
We have had multiple reports that iTunes Radio is now being rolled out in both the UK and Canada but still have no official word from Apple.
At the moment it seems only an hand full of users both in the UK and Canada are getting access to iTunes Radio. To see if you have access restart your iOS 7 device and then check your Music.app and you should see the ‘Radio’ tab.
90% of the reports from the UK we have had is from users on the EE network.
It seems this may have a server side issue and some reports are now saying the service is now showing the following error message.