She was the youngest daughter of George of Poděbrady (who was elected King of Bohemia in 1458) by his second wife, Johana of Rožmitál (Johanka z Rožmitálu).

This marriage would have gained King George an ally in his efforts to obtain the German throne.

However, the change of the political plans of George forced him in 1461 to dissolve Ludmila's betrothal with the Bavarian prince and engaged her with the Hungarian magnate Wawrzyńcem Uljakim.

The Bohemian King wanted to win the Hungarian magnates to the cause of Matthias Corvinus (who recently had married with one of his eldest twin daughters, Katharina) and simultaneously tried to gain his own opportunity of became the ruler of Hungary.

Then, he tried to arrange a marriage between Ludmila and the young Prince Vladislaus Jagiellon (eldest son of King Casimir IV of Poland) but this plan never prospered.