Elisa did not want to lose hope–she couldn't! Lady Runa was no longer around, but she hoped that someone with a similar golden heart would notice her missing and try to rescue her from there.
Did Elke notice something? Elisa understood if she didn't because she was busy. Moreover, Elke was never the type to read between the lines. She was not perceptive, and she absorbed information without a grain of salt. If Queen Emma lied to her about Elisa's whereabouts, Elke might believe it.
Her biggest bet was on Sir Karl, her lover, who was directly involved in the implications. However, she also knew it would be dangerous for him to act. Even if he wanted to, the risk was just too great. Things would become worse if he got caught.