When you retain an experienced immigration attorney, have him her request a certified disposition (if any exists).
The regulations for the deferred action program have not been provided yet, but a conviction of certain crimes will disqualify you.
You were fingerprinted. If this new policy requires biometrics (for you to get your fingerprints taken), your fingerprints (old fingerprints) could match in the system, and a conviction will pop up. Have your attorney obtain the certified dispositions and vet out the case.
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You will need to address your criminal history right away. For more general information about Obama's policy, let me know what you think of this video.
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In addition to agreeing with the other attorneys, I would note that "the obama policy" is only a policy. It is not a law and it can be changed by the President at any time.
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