The world indeed laughs a lot of Joe Biden, and his decisions, I really mean it. There is no respect for his figure either, at least here, he is portrayed as a person with senile dementia.
But there was a period on USA's history where the world laughed much muuuuuuuuuch more, and that was the Trump administration. He was on the news every day, on every country always portrayed as dumb, and very often used as reinforcement of all American bad (and even xenophobic) stereotypes (fat, racist, uneducated, unaware of any other culture and so on).
Biden administration is a disaster, but a disaster in a much smaller scale.
As for the exchange itself. There lady is famous, that's what saved her. Black and homosexuals don't even need to smuggle drugs to Russia to be killed. They get killed just by walking on the Murica streets (a sad fact also true in other places on earth, like where I live for example). What saved that lady was not PR or social justice. It was solely fame.