The correct option is
B She had gone out
The given situation has already happened 'went', 'wasn't there'. Hence it's in the past tense.
Option B: 'Had gone out' is in the past perfect tense. It states an action that completed at a certain time in the past.
It is appropriate to the given sentence, as the action 'had gone out' has already completed in the past.
Hence option B is correct.
Option A: 'Has gone' is in present perfect tense and states an action that has just happened. But the situation took place in the past and completed in the past too. It's a narration of whatever has already happened.
Option C: 'Went out' is in simple past tense and states an action that happened in the past. But the action 'she went out' happened before a previous past action 'you went to Jill's house'. Hence the former action would be in past perfect tense: it happened before another action took place 'you went out'.
Option D: 'Will go' is in future tense. It states an action that is yet to happen.
But the given situation has already happened.
Hence options A, C and D are incorrect.