Uk apple shop won't fix my phone under EU warranty
This is a legal question, not a technical one BUT... the EU 'law' you are referring to is the European Directive 1999/44/EC.  In the UK, the Sale of Goods Act meets or exceeds most of the directive's requirements, overriding the directive.  The bottom line is, you are almost surely covered, do check what the Sales of Good Act says, see if these chaps chan help you

http://www.adviceguide.org.uk/consumer_e

and be ready to stir up as much trouble as you can.  I once had to deal with a faulty screen in a new MBP, I did complain, they guys at Apple were not helpful, I kept complaining, calmly (you cannot ever lose it in these situations, because you give the opponent an excuse to stop dealing with you) and after 30 minutes the manager basically rolled belly up and did what I told him he had to do all along.  Be prepared to ask to talk to mangers etc, and take note of times and names.