Generally speaking an Order of Supervision is only issued to an alien who has a final order or removal but DHS is unable to effectuate the removal. Since you are scheduled for a removal hearing you may be eligible for a Florida Driver's license depending upon the status of your case.
I suggest you consult with an immigration lawyer who is very familiar with the DMV requirements. I have worked with the Florida DMV on numerous occasions to resolve drivers license issues. Please feel free to contact me should you like to discuss your case.
You do not mention why you need an order of supervision.
Are you presently detained or in deportation proceedings?
What is the nature of your immigration matter?
It is advisable to seek the professional counsel of a lawyer.
An order of supervision is not the same as application for stay.
One is obtained from the court and the other from ICE.
You are welcome to use the link provided below.
A foreign national needs to resolve problems with Immigration Court with the help of an attorney. The one who represented you before the Court should assist you with obtaining an Order of Supervision, if that's what you need.
I'm curious why the primary concern is for the drivers license, instead of whether you are going to be deported. If you would like a second opinion as to how to handle your case, please call my office to schedule a consultation.
I hope this answer is of benefit to you. I look forward to helping you achieve your immigration goals by reviewing your case, rather than providing general information as I have done here.