Being rude is not a sign of autism, but lack of social skills can be a problem. I feel you should see a therapist to help you with this situation. What works for one child does not work for another. My son has to get disciplined differently than a child who does not have special needs. With him it works very well if I ask him would you like me to take away your one hour of video games for today? He tells me no and I tell him well this is what has to be done. With him that has it has been his whole life. Timeouts do nothing for him but if I take things away from him that he like it works. It tears me up but he needs tough love. Cannot have him disrespecting me or others. Good luck

I sympathize with you..have an 11 year old son that acts that way..And finally realized I can t parent him like I did my neurotypical daughtersI find with him..a DIrect command doesnot work. With him..so I give him a choice ..do u want to go to bed at 9 or 9:15..what time do u want to take a bath..6pm or 7...do u want to take ur meds now ir after u brush your teeth..I havent had any luck with him being loud in inappropriate places,talking to himself,stimming in public..My ffamily is very intuned to him..so family gatherings are okay..But People look at him strangely in public..which I jhave accepted .as long as he is not too loud..I let it go...but I cannot get him to stop..

Even ODD can be treated with behavioral approaches. Do you have access to in home behavioral therapy? It can be very helpful if you are working with a good BCBA... It's not easy, and its not a quick fix, but it helps.

Thank you, I certainly will try doing that!

It's possibably not bad behaviour. To try and explain, imagine you are going to play a board game with friends, before playing you read the rules then begin to play. Now think of how you would feel when the other players start cheating, when you bring it to there attention they tell you their not cheating these are the rules, that they didn't come with the game because everyone just knows them, outnumbered, you keep on play but the other players keep on changing the rules so they can win and the game stops being fun.
Your daughter was raised that way, you gave her the rules and she is trying to play by them but it's not working because she hasn't been given all the rules.
I would suggest finding the rules with her. For examples from what you wrote:
"she is disrespectful to adults", adult often don't give the some respect to children as they do with other adults and maybe your daughter see people not adults and children, "she is telling adults to shut up because she is talking", was she talking? Again, adults often forget their manners, maybe your daughter needs to know it's not her job to teach them. She is told to lower her voice when talking over people, which she is ignoring; maybe this is because if you lower your voice when trying to talk over people it has no result, why would see listen when your way clearly doesn't achieve the task at hand. Instead maybe try addressing not to talk when others are. I suggest working with her as she may actually already be using this rule but because she isn't listening to what is being said a slightly longer pause in a sentence she interpreted as "them not talking" but you heard the sentence wasn't finished and that she interrupted. Instead of being reminded she may need a new rule.
While you are thinking your daughter is displaying bad behaviour maybe she is feeling the same way about you, maybe your daughter is try to teach you but also having trouble finding the way that works for you.