In the given sentence, the conjunction "nor" is the correct choice because it is used to join two negative clauses. The sentence "She doesn't like cricket" is negative, and "nor" is used to continue the negative thought about hockey. The sentence would read: "She doesn't like cricket, nor does she enjoy hockey." Option (1) "not" is incorrect because it doesn't fit grammatically in this context. "And" and "or" in options (3) and (4) are also incorrect because they do not express the negative continuation correctly.