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If your dad is a U.S. citizen, he can (and should) file for your green card right away. He cannot do it after you turn 21, so it's best to get started early. The one DUI should not preclude you from getting your green card through your father. However, the application process may be confusing, and you would be wise to retain an immigration lawyer to assist you.
While a simple DUI is generally not considered a crime involving moral turpitude, Department of State policy is to refer an alien who has been convicted of DUI within the last 5 years to a physician for a determination as to whether the alien suffers from alcohol dependency to determine whether the alien is inadmissible on medical grounds. Depending on the facts of your case this may or may not be an issue. Consult with an experienced immigration attorney who can review your case and advise you how best to proceed.
While this answer is provided by a Florida Bar Certified Expert in Immigration and Nationality Law, it is for general information purposes only and an attorney/client relationship is neither intended nor created. You should seek out qualified counsel to review your case and provide you with advice specific to your situation. Call +1-561-478-5353 to schedule a consultation with Mr. Devore.
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