Okay I was bored and did some research for you. From the best I can tell as of right now many of the cooler functions on the fire (i.e. music/streaming videos/etc...) probably will not work in the UK right now.
"However, once you’ve got the Kindle Fire in your English clutches, will it actually work? It’s a mixed bag truth be told, and several rather critical features don’t look like they’ll work in the UK, at least according to Amazon’s customer service.
Specifically, the tablet itself can be used without problem in the UK. The streamed media it relies on, however, are mostly inaccessible. You can’t download new apps to the device and you can’t download movies or use TV features. You can use the web browser and purchase books however, so if you’re looking just to use the same features as the traditional Kindle you’ll be alright. Of course if that’s the case, then you may as well buy a traditional e-ink Kindle, and not go through the hassle of getting the Fire shipped to the UK in the first place."
You can read that article in full here:
http://thranblog.info/post/13172119551/kindle-fire-in-the-uk-can-you-wait-if-not-read-onThen I read that the Fire is rumored to be coming to the UK soon in the new year. I HATE quoting the Daily "Fail" but here is that article:
http://www.dailymail.co.uk/sciencetech/article-2071007/Cheaper-Amazon-Kindle-Fire-hit-UK-January-Christmas-hold-iPad.htmlEven when it is released in the UK you might not be able to stream US videos from the cloud due to copyright and all that BS.
I noticed that several people emailed Amazon your specific question and all they got in reply was "The Kindle Fire is currently unavailable for sale outside the US." They did not address whether it would work outside of the States or not.
You, honestly, might ask your Father to get you a gift card or something so that when it comes out in the UK you can just get it then.
I apologize that I am unable to give you a more definite answer but after 30 minutes of looking that is the best I could come up with!
Best of luck to you. If you do find a better answer please keep us posted.