D.P.
Welcome to the age of argumentation! You truly do have a lot on your plate-both of you parents!
Your daughter is at an age where she's trying to assert her own personality, but is unsure about how to do it. So she grabs anything she sees from adults around her, movies, TV, or even friends' parents.
While she may seem to think she can do what she does, you parents KNOW otherwise. (When I say "you," it means both parents)
Here are some key points that might need looking into, and a couple suggestions. But one thing-Simply, DO NOT ARGUE.
1. Raising her voice at you: If she was raised in an environment of respect (she respects elders and peers), with the appropriate things like "Yes ma'am," or "no sir," her "please"s, "thank you"s, and so forth, it may be a bit easier. If not, the challenge will be greater, but not impossible.
Suggestions: a) We set rules in our home-NO ONE is to yell, unless someone is bleeding to death, having a heart attack, or the house is on fire.
b) When she raises her voice, stop everything. Look at her and ask her in a calm voice "Who are you speaking with, please?" Do NOT raise your voice, and act calmly as you can. IF she challenges you, then tell her quietly that "I don't respond to that tone, nor should I have to from you. I will be willing to listen when you try a little respect."
2. Take the hostility out of the situation. She pushes buttons to get a rise out of you. Attention is attention-even negative attention is attention. It's a trap.
Suggestions: a) Ask her what is fueling her anger at that moment. Let HER talk more than you. She may actually talk about somethin gthat may help you get to the bottom of what may exactly be bothering her.
b) Even if it bothers you, DON'T let it show. If you have to be quiet, be quiet. Silence is at times, a more effective tool, and can have some pretty impressionable effects.
3. Rules of engagement: It seems that in her attempt to assert herself, she wants to be treated like an adult. Tell her that if she wants to be treated like an adult, she needs to conduct herself in a manner worthy of respect as an adult., She's old enough to understand that. While she may still be jumbling the concepts in her head, you have put her on notice that even in the adult world, everyone treates each other with a level of respect-regardless of personal feelings.
Being tired or hungry, confused or frustrated is NEVER an excuse to be rude or obnoxious to figures of authority.
4. Constantly remind her that you BOTH love her, regardless of the circumstances (stepdad going away, etc). There are realities in our respective lives, and as intelligent beings, we adapt-not crumble, fall apart, grow hostile.
5. Husband and wife MUST BE COORDINATED at all times. If one disagrees with the other, DO NOT DISCUSS IT in front of the children. This only shows a weak point in discipline enforcement, and children WILL exploit it as often as they can.
6. Play tag-team with your husband. You get the verbals from her, he becomes the one who sits and talks with her. It's a delicate dance, but I found it effective when we here at home take two separate approaches. We can't both be diffusers ord rulemakers, if you know what I mean. One will need to be the reconcilliatory key.
As far as real dad goes, since he's chosen to sit the dance out, he's out of anything that deals with discipline. YOU and your husband lay the rules of engagement down. YOU two choose, because the ex has taken himself out. While it sounds cold, the reality is, he is not there, and is apparently not dependable. Build a NEW structure that will embrace your family with those who are present and accounted for. When he decides to pop in, well, factor him in, but anything structural for the children should be premised on what is dependable-and that means you, stepdad, and siblings.
I hope this gives you ideas. Every child, even within a family, is different. I've found these tips fairly neutral... Best wishes, and don't forget to pamper yourself occasionally amidst your heavy schedule!