"I have a rescue dog who was abused. She whimpers whenever I correct her. Can I still train her?"
I used to live with 3 rescue dogs of my own, at least one of which was mistreated. If she's whimpering when you correct her, then you're correcting her too harshly. A correction should be enough to get her attention back on you, not something to inflict harm on her. You can definitely still train her, but it may take a little while because we'll have to build up her confidence. On the other hand, the added positive attention she'll be getting from the training may be all she needs to really wow you with what she can do.