The site you accessed has a weak translation. It should read "deaconess," not deacon. There is a profound difference in that the deaconess did not receive Holy Orders (although she was prayed over). The role of deaconesses has been thoroughly researched and it was NOT the female equivalent of the diaconate. Further reading: The Apostolic Origins of Priestly Celibacy by Cochini or Deaconesses by Martimort or Cardinal Mueller's book on the Priesthood and Diaconate.