Final answer:
The clearest evidence that Gavin cannot compete with Aurora's family for her attention is not contained within the provided excerpts, but thematic parallels suggest it would involve a personal shortcoming or inability to match the family's influence.
Step-by-step explanation:
In the story The Walking Dance, the clearest evidence that Gavin cannot compete with Aurora's family for her attention is not explicitly provided in the excerpts given. However, based on the themes commonly explored in such narratives, one might infer that a scene demonstrating Gavin's inability to offer Aurora something of personal significance—similar to the young Student's lack of a red rose for his love in another excerpt—could serve as an illustration of this dynamic. In the absence of a specific passage from The Walking Dance, we rely on thematic parallels to understand Gavin's situation.