Farscape: Look at the Princess, Part 1: A Kiss is But A Kiss

While on the Royal Planet, it's discovered that Crichton is compatible genetically with a princess who needs to find a suitable mate in order to take the throne. D'Argo cuts a deal with Scorpius that guarantees the rest of the crew freedom if Crichton proceeds witht he marriage. Crichton eventually learns that he will be turned into a statue for 80 years after the ceremony.