Donald Trump’s Pentagon officials are examining potential measures to penalize NATO countries that have declined to back the Iran conflict, with reports suggesting this includes a review of Britain’s sovereignty over the Falkland Islands.
[…] Britain fought a war against Argentina in 1982 to maintain control after Argentine forces invaded the islands. Argentina’s current president, Javier Milei, is among Trump’s closest international supporters.



https://www.declassifieduk.org/uk-deployed-31-nuclear-weapons-during-falklands-war/
They definitely had them on hand and she went full vengeance mode after an exocet hit a British ship, although the Vulcan may have been the first choice.
It was the French who talked her down I believe.