There are few things to consider. First, the time it takes for a hearing to be set, heard by the judge and decided can very GREATLY based purely on the court's schedule. This could be a few months or several. Second, it's not a guarantee that the judge would approve the emancipation,even if your parent(s) do not contest it. There are certain elements that must be proved and abilities demonstrated for approval.
Advice on this forum is for informational purposes only and should never be mistaken as a substitute for legal advice. If you are in need of legal advice, you should consult local legal counsel.