The correct option is A NO CHANGE
Modal verbs help determine the mood of a sentence, to indicate obligation, permission, possibility and so on. In the given sentence "will" indicates a future action performed by the person "she", hence it's the most suitable option here and A is correct. 'Shall' when used in the third person ('she' is in the third person) expresses a threat or promise; the sentence does not imply a promise or threat, but mentions a future action if the person is not given any work, hence option B is incorrect. 'Should' is the past tense of 'shall' in indirect speech; the given sentence is neither a threat/promise nor is it in indirect speech; hence option C is incorrect. 'Would' is the past tense of 'will' in indirect speech; because the sentence is not in indirect speech, 'would' isn't suitable and option D is incorrect.