Skolimowska did not set new national records in 2003 and 2004. In 2003, she finished eighth both at the 2003 World Championships and the 2003 World Athletics Final. In the final round of the hammer throw at the 2004 Summer Olympics in Athens she recorded a season best of 72.57 metres, placing fifth overall in the event. She again finished fifth at the 2004 World Athletics Final.