Without her interference, it would have worked very well.
这里的句子用的是虚拟语气吧?这是不是意味着介词 without 也可以连用虚拟语气?
你的句子没有问题,句子中的 would have worked 确实是虚拟语气。
=But for her interference, it would have worked very well.
=If it hadn’t been for her interference, it would have worked very well.