[2] Angelopoulou also held the distinction of being the first female Greek swimmer to reach an Olympic final.

[3] Angelopoulou qualified for two swimming events at the 2004 Summer Olympics in Athens, representing the host nation Greece.

She achieved a FINA A-standard entry time of 2:10.64 (200 m butterfly) from the European Junior Swimming Championships[2][4] On the first day of the competition, Angelopoulou set a Greek record time of 4:44.90, to secure her spot in the final of the 400 m individual medley.

[5] Being the nation's first female swimmer in the swimming final, Angelopoulou finished in last place by half a second (0.50) behind South Korea's Nam Yoo-Sun, in a time of 4:50.85.

[6][7] In the 200 m butterfly, Angelopoulou failed to qualify for the semifinals, as she placed twenty-second in the preliminary heats, outside her personal best time of 2:13.88.