Final answer:
Gwendolen believes that the sound of the name Earnest produces the right vibrations, indicating that it is important to her that the man she marries is named Earnest.
Step-by-step explanation:
The question is asking whether it is important to Gwendolen that the man she marries is named Earnest because of the sound of the name producing the right vibrations. Based on the given information, this idea is true. In the provided passage, the sound of Aylmer's footsteps arouses the woman, indicating that sound can have an impact on her emotions. Therefore, it can be inferred that Gwendolen believes the sound of the name Earnest will have a positive influence on her.