I think you have 2 issues
One is her behaviour towards you, not involving her father. And you are right with your last post, children don't ask to be born and they don't ask you as their mum to do x,y and z. You can teach your DD to be polite and give consequences for being rude, but she does not have the mental capacity to understand what you do for her. She feels secure with you but she doesn't understand why. She just takes you for granted - you are a permanent fixture in her life. That's a great thing by the way. When she reaches adulthood she will probably 'get' you being there for her all the time, but for now she won't.
Also, she's used to you behaving in a certain manner. She's also used to seeing her father behave in a certain manner, which is different from yours. She finds it normal and routine for you to keep promises, behave reliably, spend time with her frequently. Therefore if you change your behaviour and suddenly break a promise/don't spend time with her etc, she will find it odd and not very nice/unsettling, and she will 'not let it go'. However her father behaves differently to you and she accepts that. She accepts his behaviour because it's the standard she knows. She won't accept it from you because it's not your usual behaviour and children want adults to behave consistently. It's extremely unsettling for kids when adults around them are inconsistent so she pushes you to act in the same reliable 'good mum' manner continuously. Him...not so much. His behaviour is consistently not very good in adult terms...but at least it's consistently not very good so she knows what to expect from him.
Second issue is her relationship with him vs her relationship with you. You are struggling with her having a different standard for him and for you. And struggling with her love and her huge excitement in seeing him, versus not doing that for you.
You know, I get. I totally get it, because I'm going a situation with quite a few parallels right now with my DD2. My DD2 is much older at 17, but same principle. My DD was adopted by me when she was just turned 8 and since February she has been in close contact with her birth mum. And that involved similar things that are going on with your DD...my DD became much more difficult with me, whilst forgiving her other mum everything. She went on about how wonderful her mum was and she couldn't say a bad word about her although no problem swearing at me. That's just the very tip of the iceberg. And it's emotional crap for me, makes me feel really unwanted and left out and second best. It's not really like that, but you cn't help feeling it.
I've found that the only way to deal with that side is just to disengage more. Switch brain off when talking about mum. Don't think about her.
You could try similar. Try not to dwell on his relationship with your DD. Actively stop yourself thinking about it if you do. And carry on being there for your DD. She expects more from you because you always and consistently give her more. She expects what she knows. Be proud of that.