jti is correct.
Notwithstanding legends of Joseph of Arimethea and the Holy Grail winding up in a place convenient for Arthur’s knights to find it; by the accounts of accepted history, both Christianity itself and the C of E decidedly came later than the founding of Christianity in Rome.
The split from Rome is a complicated tale of a king wanting a divorce. And so, independence from Rome was declared. Those who wanted to remain in union with Rome continued to be Roman Catholic and were generally persecuted. Those who wanted to remain Catholic in the way they were brought up, but wanted political freedom from Rome, became the ‘high church’ followers of the new C of E (they consider themselves to be ‘Catholic Reformers’ and not ‘Protestants’). Those who wanted to revamp the whole system, like the Protestants on the Continent, became the ‘low church’ of the C of E, and they most definitely viewed themselves as Protestants.
To this day, there are high church Anglicans who are more Roman than the Pope (high liturgy, sacraments, lots of incense, Marian devotions, deference to clergy and bishops, etc…). They call themselves ‘Catholic’ (and the RCCs ‘Romans’). And a significant number nostalgically long for reunion with the RCC.
The low church Anglicans, however, still consider themselves ‘Protestant.’ Their worship is virtually non-sacramental and their outlook is more akin to the Methodists or Calvinists. The can tend to be fundamentalist and only reluctantly consider RCCs to be actual Christians.
Keep in mind these are gross generalizations. People can vary greatly and be all in between on these issues.
The RCC’s view on Anglicanism is just as schizophrenic (to incorrectly use that psych term to mean ‘of two radically different views’). The RCC has made major overtures to Ecumenism (i.e., Christian unity), especially in not condemning non-Catholics to hell anymore. Theologically, and on the issues of Church governance (i.e., the authority of the Pope), the theologians of the two denominations are nearing complete agreement. Looks rosy, eh? Not so fast. Rome’s #2 man, Cardinal Ratzinger, just reiterated Rome’s opinion of Angligan orders (i.e., the status of their clergy) – not valid. That’s like the U.S. telling England, “We don’t recognize the authority of your Prime Minister or Queen to govern your people.” Ouch.
Of course, the whole relationship is much thornier than presented when you consider: Anglican clergy going to schismatic (yet valid, in the eyes of the RCC) bishops in order to get valid orders; lots of RCCs becoming Anglican and vice versa (including each other’s clergy); Anglican ordination of women (Rome hates that); and all those low church Anglican who hate Rome.
Peace.