This woman is Jóhanna Sigurðardóttir, and she is the current Prime Minister of Iceland. She is the first female Prime Minister of that country. Impressive enough.
Jóhanna is also a lesbian. She became the first ever openly gay head of government in the modern world on February 1st, 2009. That’s really impressive. Her wife is Jónína Leósdóttir (an author and playwright). They entered into a civil union in 2002, then converted it to a marriage in 2010 when same-sex marriage was legalized in Iceland.
I must admit that, like most Americans, I am not exactly up on my foreign heads of state. I discovered her when I was reading this article about the fact that two of the approximately sixty world leaders attending a NATO Summit in Chicago are openly gay. The other is Elio Di Rupo, the Prime Minister of Belgium. He became the second openly gay head of government in December 2011, and is the only openly gay head of a European Union country.
Kudos to both of them, but especially Jóhanna, because this proves that lesbians rule. ;)