Why did the Jerusalem apostles resist accepting Paul's authority?

They were not ready to relinquish their power and authority. Their humanity made them resist admitting that Paul, a Jew, was now the instrument God was using. This refusal stemmed from a natural unwillingness to share or surrender their established position.

Les explains that the twelve men in Jerusalem, along with their leader, refused to give up their authority. He says this is human and shows their humanity: they were not ready to relinquish power and admit that Paul, a Jew, was now the instrument God was using. Les notes he has nothing against Peter and will be glad to meet him, but their reaction illustrates a common reluctance to surrender position.

Why did the Jerusalem apostles refuse to accept Paul's apostleship?

The Jerusalem apostles and their leader refused to accept Paul's apostleship because they were unwilling to relinquish their power and authority. They were not ready to admit that Paul, a Jew, had been placed by God as His instrument, revealing their human reluctance to share or yield their established position.