Now knowing it's your daughter, sorry man - just the original post had no background information, so I didn't know how to tackle it - must be really difficult and I commend you for hanging in there with her.
Now, not knowing much about her age or how severe it is, children rarely listen to their parents. I know I never did. My parents have stories all the time about all the stuff I did that got on their nerves. I wasn't Damien. I just had a mind of my own. Basically saying, depending on her age - some things may go away with time. Fragile doesn't exist to children - fascinating cool looking thing does. Antique stores can be a nightmare for any parent. The fact that she does something to get a reaction out of you? I don't know much, but I'd say that might be a good sign. That shows cognitive thinking. If she was doing it over and over again without trying to get a reaction - that may have shown her not being able to put thought behind it. Depending on her age, that will lessen with time.
I was an adoptee, still am. I did things my parents told me over and over again not to to get a reaction from them as well. Unconsciously, according to therapists, I wanted to see how far I could push them and if they'd still be around. I wanted to see their breaking point. Now consciously, I probably had no idea about that. But, still that was not easy on my parents. I ran away, to my knowledge by the age of five, two times. Two times. That's enough to give any parent a heart attack.
Not meaning to say "all children are the same" and underplay it. Just saying some of these things may go away with time and sound a lot like child stories I hear around. It may be difficult now, but years from now it could get easier to handle.
EDIT: And now knowing she's only four? And as you said, doing much better in other areas? I think a large part might just be children being children. A more difficult child to raise, surely. But, all children to varying degrees are difficult to handle at that age. I mean, I even stole from my preschool lol. I'm not a thief today, far from it.
My Mom actually refuses to babysit really little children because that is just an experience she can not go through again lol. Parenting is a job, and not an easy one at that.
ALSO girl thing - my sister, no psychological thing wrong about her, threw temper tantrums until the age of seventeen. My best friend? His sister was the same way. Girls, man, some are just like that. Kinda why when I get a child, hoping it's a boy - boys seem to be much easier to raise.