As of late last week, a White House tally showed that Judge Sonia Sotomayor had met or made plans to meet with 88 senators. But the most important meeting — and the first public one — is scheduled to begin July 13.

Most of the story lines are already set for Sotomayor’s hearing before the Senate Judiciary Committee, and just about all of them end with her winning confirmation as the next justice on the U.S. Supreme Court. That doesn’t mean, though, that she’ll have an easy time.