Complex sentence: Since the 1950s, "Miss France" winners have competed in the "Miss Universe" pageant with the exception of 2003, when the organization lost the right to send a delegate after a dispute with a rival pageant organization.
Split into simpler sentences: Since the 1950s, "Miss France" winners competed in the "Miss Universe" pageant. The organization lost the right to send a delegate in the 2003 edition of the international competition after a dispute with a rival pageant organization.