Complex sentence: The Best Female Action Sports Athlete ESPY Award has been presented annually since 2004 to the female, irrespective of nationality or sport contested, adjudged to be the best action sports athlete in a given calendar year.
Split into simpler sentences: The Best Female Action Sports Athlete ESPY Award is an annual award honoring the achievements of a female athlete from the world of action sports. It is given to the female, irrespective of nationality or sport contested, adjudged to be the best action sports athlete in a given calendar year.