“Does a 17 year old have the legal right to make the decision not to live with her parents without her parents consent, in the State of Florida??”

Through a guardian ad litem, and against your wishes, a child over the age of 16 in Florida can request through the probate court to have the disabilities of nonage removed. TITLE XLIII. DOMESTIC RELATIONS CHAPTER 743. This is also called emancipation in other states. Without the Court order for that, for a child under 18 is the responsibility of the parents, and subject to the control you are able to lawfully exert. The difficulty may be in getting your child to play by the rules that you want.