This is explained in a little more detail in the source novel. The strongest warrior is declared the fittest to lead the tribe. Jessica bested Stilgar him in combat and hence there's some question over whether she could demand leadership and whether he's is still fit to lead.
“Your people show good discipline,” Jessica said. She lowered the
binoculars, saw that Stilgar was looking at them.
“They obey the preservation of the tribe,” he said. “It is the way we
choose among us for a leader. The leader is the one who is strongest,
the one who brings water and security.” He lifted his attention to her
face.
She returned his stare, noted the whiteless eyes, the stained eyepits,
the dust-rimmed beard and mustache, the line of the catchtube curving
down from his nostrils into his stillsuit.
“Have I compromised your leadership by besting you, Stilgar?” she
asked.
“You did not call me out,” he said.
In this instance Jamis, who strongly opposes the idea of Paul and his mother being accepted into the sietch is using the confusion over Stilgar's (previously undisputed) status to gain support amongst the Fremen present for his declaration of a duel with Paul, who humiliated him a few minutes ago.