Hi, and welcome to mamasource. First of all, this may come as a shock, but your New Daughter doesnt have to like you, but she does have to respect you. You are new in her life, and you both have to work out a way to understand eachother in this (New) life as a family.
She has choices...she has consequences as well....if she makes a wrong choice, she sufferes....that is how we learn...that is life.
NO is NO....and you dont need to say it again. If she asks "WHY", you say,"Because you said so"...you owe her no explaination because you are the mom. If she asks about something that is a maybe, then you tell her..."We will talk about it together"...
Discuss all possiablities, and explain to her your concerens if you you have any....she is 15, and she is growing up...you cant say "NO" all the time. If she wants to go to the mall, ask her,"Do you any company at the mall, or do you want to be with your friends"? Then...she is making a choice.
Rules are rules, and they are never to be broken. You tell her that you care about her as much as you care about this family.Explain to her, that in order to have a happy life she has to understand how to make that possiable...
At 15 yrs of age, I was cleaning up more than my room, and doing dinner dishes....I was cleaning the house...she has it good...and you tell her that.
I also think you both need time together as a new mother/daughter, and form a unbreakable bond....That is still possiable...
That being said she needs to step up to the plate and talk to you, and or her father(as much as it might hurt) and explain things that are going on and her feeling towards everything.
I wish you luck