Oh God, the teenage years can be difficult. For every poster bragging about their hardworking academically gifted, courteous, polite teenagers, with their A grades, vocal devotion to their parents and siblings and, of course, a superb work ethic, there are dozens like your DD.
Mine was one of them. Aged 16, she regularly told me to go and jump off (local suicide spot) bridge, she would play truant from school, she was smoking, drinking, hanging around with older teenagers, and wouldn't listen to anyone, not her father, older brothers, grandparents...after a lot of thought and talking things through as a family, we all took a step back, and as long as she was safe, let her go, let her do what she wanted, stopped trying to 'make' her behave, and although it broke my heart, I acted as if I really didn't care about her anymore. It took a while, but she came back.
Ten years on, that awful 12 - 18 months of having a devil child in the house is something to laugh about. She's successful in her career, settled with her boyfriend, saving up for a mortgage, planning to get married in August and perhaps have a baby after that...
I hope you can get through this with your DD, it's bloody horrible! 