In 2002 he was elected as primate of the Traditional Anglican Communion (TAC) in succession to Louis Falk.

Under the leadership of Archbishop Hepworth as primate, attempts were made to bring the TAC and Forward in Faith into closer alignment.

[9] The Church of Torres Strait (a diocese in Queensland) submitted a similar but separate proposal in May 2010.

Despite the corporate petitions to Rome, Anglicanorum Coetibus did not make any provisions for the reception of entire ecclesial bodies.

[17] Robarts had been the Episcopal Visitor of the diocese for many years,[18] and was enthroned as diocesan bishop of the Anglican Catholic Church in Australia in 2016.