Catholic Emancipation?

This is a matter of opinion, not to say politics.

Emancipation means "the act of freeing from restraint, influence, or the like."

Were Catholics emancipated in 1829?

According to Wikipedia, the process of Catholic emancipation in Britain and Ireland took place "in the late 18th century and early 19th century". Wikipedia adds that "The penal laws started to be dismantled from 1766. The most significant measure was the Roman Catholic Relief Act 1829, which removed the most substantial restrictions on Roman Catholicism in the United Kingdom." But it notes that "Requirements to abjure (renounce) the temporal and spiritual authority of the Pope and transubstantiation placed major burdens on Roman Catholics."

Elsewhere, Wikipedia describes the Roman Catholic Relief Act of 1829 as "the culmination of the process of Catholic Emancipation throughout the United Kingdom." Its most significant effect was to allow Catholics to sit in Parliament, which the Duke of Wellington (as Prime Minister) found necessary in order to appease the Irish lawyer and national hero Daniel O'Connell. O'Connell had won a by–election in 1828 but, as a Catholic, he had been unable to take his seat in Parliament until the enactment of the Bill.

In summary: we know what you mean, but to suggest that this controversial process was completed at a stroke at a particular point in time is to trivialise it more than somewhat.