How long do they have to get me a court appointed attorney?

First off have you requested a court appointed lawyer. If you have not requested one and filed out the affidavit you will not get a lawyer appointed. If you have an appointed lawyer already the court should have provided you with the lawyers contact information. Call or write the lawyer

You need to ask for a public defender application from the jail staff or from the court staff. The PD will contact you as soon as they can. Many have been off due to the holidays.

There is no set schedule for any court to appoint a lawyer. Most courts will require a request to be submitted along with an income/asset schedule or a tax return to determine if you are qualified (indigent). Further, particularly in a felony case you may first be indicted before a court will even consider appointed counsel. The magistrate who set your bond (too high) may not be authorized to appoint counsel. Remember, you will be better off hiring your own lawyer who has more interest in you than an appointed lawyer.