If the Time Zone on your Fire TV is not set to UK time then the TVPlayer TV Guide will not show the correct current time.
To change the Time Zone press the Home button on your Fire TV remote.
Then select Settings followed by Preferences.
Scroll down to Time Zone. Then select Europe and either Greenwich Meantime or British Summer Time depending in what time of the year it is.
The press the Home button to return to the Amazon Fire TV front screen.