I accept you are at the end of your tether and frankly your DP is a giant dick
But separate the issues
Whether you like it or not you are the parent and she is the child and it certainly sounds like she is picking up on your dislike of her
Your wording comes across as extremely manipulative and martyr like "may God strike me down "comment is self serving
No-one would have an issue if you were just having a fair moan that we all do but your language to your dd is horrendous
I've got some similar issues with ds1 around going to the toilet ,reaction to being told off...head butting etc
The behaviour around her father...yes it's likely that he is playing a big part
All of these issues can be managed in a controlled way (I get the frustration I will go outside and rant and cry but do not let the kids see)
Take a step back and rather than blame everyone else i the world or even yourself look at how to resolve
And STOP with your attitude towards her...she is a child and whatever she is doing it is not some deliberate sinister plot to screw your life up
And get rid of DP he's ridiculous