if you were charged with Disorderly Conduct, the maximum sentence available under Arizona law is 6 months in jail, a $250@ fine plus up to 84% in surcharges, and 3 years of probation. The likely offer to you will probably be a plea to the charge plus a fine and/or a relatively short term of probation. Assuming that there are no viable defense of suppression issues, you should see if a diversion program is available (where you could attend and complete say, alcohol classes, and earn a dismissal of the charges).
If the State is not seeking jail time or probation, you will NOT be appointed a public defender if you cannot afford an attorney. If you can afford an attorney you should consider hiring one as soon as possible.
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Chances are that you will NOT be appointed a public defender and as with any criminal charge, the earlier you get an attorney, the more opportunities there are for a zealous and creative defense. Based on learning more facts, diversion is a possiblilty that might be available to you. I would encourage you to contact an attorney at your earliest convenience to learn all your options.