Run attached application. It is pretty simple:

        HBox hBox = new HBox();
        hBox.setAlignment(Pos.BASELINE_LEFT);
        hBox.getChildren().setAll(
                new Hyperlink("Some link"),
                new Region());

When it is rendered for the first time, it is rendered in top left corner of scene. If you resize window or hover mouse over hyperlink, it jumps to bottom left corner.