It means that this is a mess. We are, to some degree, in uncharted water. Conklin, who I believe represents the state or county election board, may be wishfully thinking. He can't force Pelosi to do anything.
It would put Pelosi in an unusual position of ignoring a state election official (who is presumably a Democrat himself), and allowing Owens to keep his seat. But, there's no judicial remedy here, even if the election board or Hoffman would sue, there's more than a reasonable chance that the judiciary wouldn't hear the case. If they did, they would be carving out new judicial authority, something that really doesn't happen all that often.
Like I said, it's a mess. If Hoffman would have contested the election, then Pelosi wouldn't have been able to seat Owens, and this could have and would have been decided in the courts.
Mercy me! Mess may be an understatement.