Inexorable

A firm advertised for a stenographer and next morning was overwhelmed with applicants. The office boy was told to admit no more.
Shortly after this an aggressive lady arrived, and pushing her way through the others, demanded to see the boss. By this time the office boy had grown deaf to all protestations, and had but one answer.
"Not today, madam," he said.
"But I'm his wife."
"Not today, madam," was the inexorable answer.

Inexorable is explained as "not able to be stopped or changed" in the dictionary. Here, does "the inexorable answer" mean "the boy was very determined not to change his answer"?