She later captured three bronze medals, along with her sister Zzwitjhallim, in both singles and doubles tournaments at the Central American and Caribbean Games (2006 in Cartagena, Colombia and 2010 in Mayagüez, Puerto Rico).

Medina qualified for the women's singles at the 2004 Summer Olympics in Athens by receiving a berth from the Latin American Qualification Tournament in Valdivia, Chile.

[4] Building a historic milestone as the first table tennis player from Central America, Medina was appointed by the Honduran Olympic Committee (Spanish: Comité Olímpico Hondureño) to carry the nation's flag in the opening ceremony.

[5] Ranked a lowly 342 in the world, Medina thrashed Jordanian teen Zeina Shaban in their first preliminary round match with a score of 4–0, but was disqualified when the officials ruled the rubber on her racket proved illegal.

Backed by a vocal group of Jordanian supporters, Medina officially lost a cliff-hanging match against Shaban in the seventh and decisive set with a final score of 9–11.