indirect
grows out of · a reluctant messenger
Both stories put a Jewish messenger, against his instincts, in front of gentiles who respond — Peter even needs a vision to go.
direct
grows out of · the first gentile household
Acts 10 is where the commission stops being theoretical, and Peter has to be persuaded by a vision before he will go.
direct
points forward to · the church decides
Peter's report of what happened at Cornelius' house becomes the decisive testimony at the council.