Complex sentence: Representatives from the "Ayllus" are sent to the National Council of Ayllus and Markas of the Qullasuyu or Conamaq which itself chooses an Apu Mallku as it's head.
Split into simpler sentences: Representatives from the "Ayllus" are sent to the National Council of Ayllus and Markas of the Qullasuyu or Conamaq. This body chooses an Apu Mallku as it's head.