What name was given to the western european christian church after the religious schism in 1054 ce? a. eastern orthodox church b. southern baptist church c. christian church d. roman catholic church

That would be the Roman Catholic Church.
Both sides were Christian churches but the Eastern one based around Byzantium was Orthodox while the Western one based around Rome and Pope was the Roman Catholic church. They still exist today except that the Orthodox church is not unified by a single leader and countries that practice Orthodox Christianity each have their own religious leader.