Final answer:
Christina Rossetti (option B) was deeply committed to the Anglo-Catholic movement, making significant personal sacrifices such as giving up theater and opera, refraining from playing chess, and canceling marriage plans twice due to her religious beliefs.
Step-by-step explanation:
The person who became committed to the Anglo-Catholic movement within the Church of England and consequently gave up theater, opera, chess, and canceled plans for marriage on two occasions due to religious scruples is Christina Rossetti.
Christina Rossetti was deeply involved in the religious debates of her time and often reflected her spiritual beliefs in her poetry. Rossetti's dedication to her faith was intense, and she made personal sacrifices for her religious convictions, aligning with the tractarian or Anglo-Catholic tenets within Anglicanism that sought to reinstate more Catholic traditions and beliefs within the Church of England. Her decision to avoid marriage and abandon certain forms of entertainment demonstrates her commitment to religious devotion and the principles of the Anglo-Catholic movement.