The correct option is B has not been swimming
In order to find out the correct form of the verb needed, let's first understand these tenses. Present continuous tense is used to express an action that is continuing at the moment. Perfect continuous tense is used to express an action that has started in the past, continuing in the present, and might go on or end in future. This sentence shows an action for 'a month'. Continuous tenses are used in case of short-term actions, whereas perfect continuous tenses are used for long-term actions. Hence, we can say - Option B is correct - 'Shobhita has not been swimming for a month because of skin allergy.' Option A is incorrect as the verb should be in its past participle form in the perfect continuous tense - swum. Option C is incorrect, as adding continuous tense doesn't work in the context of this sentence. Option D is incorrect as it doesn't have an auxiliary and defines no appropriate tense.