Had he done so, he would have been hooted out of camp and probably lynched.
As for Kit, his courage was beyond suspicion.

He feared no man and was sure to acquit himself creditably no matter in what circumstances he was placed.

He was the most popular member of the large company, while his antagonist was the most detested; but the love of fair play was such that no one would interfere, no matter how great the need for doing so.
The duellists, as they may be called, mounted each his horse and circling about the plain, speedily headed toward each other and dashed forward on a dead run.

As they approached, they reined up and halted face to face, within arm's length.
Looking his antagonist straight in the eye, Carson demanded: "Are you looking for me ?" "Have you any business with me ?" "No," growled the savage Frenchman; but, while the words were in his mouth, brought his rifle to his shoulder, and, pointing it at the breast of Carson, pulled the trigger; but Kit expected some such treacherous act, and, before the gun could be fired, he threw up his pistol and discharged it as may be said, across the barrel of the leveled weapon.
The ball broke the forearm of Captain Shunan, at the very moment he discharged his gun.

The shock diverted the aim so that the bullet grazed his scalp, inflicting a trifling wound; but the combatants were so close that the powder of the rifle scorched the face of the mountaineer.
Captain Shunan had been badly worsted, and was disabled for weeks afterward.