the last time a British monarch actually got to use the Veto prerogative was in 1708 (Queen Anne on the Scottish Militia Bill). There has been no effective Royal Veto since 1911 when it was practically abolished (the Parliament Act), the final nail was in 1999 when Blair abolished Hereditary Peers from the House of Lords (House of Lords Act, which as was pointed out by Baroness Jay of Paddington in Hansard HL Deb 14 October 1998 vol 593 cc921-1042, could *not* be opposed by any member!) at the same time as he abolished capital punishment for the only remaining crime that was until then still on the Statute books as punishable by death - felonious treason against the reigning Monarch.
Basically, the Queen has zero say in how the country is governed, her speeches are written for her - by the Government, and proofread by the Prime Minister! Plus, just take a look at what the papers reported when Pope Benedict graced her with his presence in 2010 - she not only held the door for him(!), in her own house(!!), she allowed him to pass through *first*, which as anyone who has ever been in the presence of any member of the Royal Family will tell you is entirely against protocol, as staff *always* hold the door and staff *always* enter a room first, followed by the Royal Member followed by the guest and his/her entourage. I wonder how many doors she held open for the President of South Korea last November 5th on her State visit to Buckingham Palace?