Generally a U.S. citizen may succeed in petitioning for a foreign national spouse to become a Lawful Permanent Resident (to get a "Green Card") notwithstanding that the U.S. citizen may have a criminal record that includes arrests for DUI and reckless conduct. Of course, there are many other details that determine immigration application eligibility, and it would be wise for you and your wife to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.
More information is needed. Are you a U. S. Citizen? Did your wife enter the U.S. with a lawful visa? Has she done anything that can disqualify her? Do you really know? I strongly recommend an appointment with a competent and experienced immigration attorney who can take the time to carefully investigate and review all of the facts. The above is general information, not legal advice, and does not create an attorney client relationship.
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