The Argentinians are an ungrateful bunch. Thanks to our intervention in 1982 the military junta, y'know, a dictatorial abduct-folks-in-the-middle-of-the-night style bunch of tyrants, was toppled.
Every tinpot Argie populist since, who ironically owes their job to Margaret Thatcher, bangs on about it.
My advice to Frau Kirchner is to **** or get off the pot. The Falklands garrison is small but reasonably well-resourced. The Argentinians would be squandering mucho blood and treasure taking it militarily. Of course, that the islands sit on an oilfield doesn't really help.