I agree with the above answer. The DWI can have an adverse effect but I believe that the far greater adverse effect would be to ignore this or lose your documentation. You need to hire an immigration lawyer and that lawyer will use your entire personal history to attempt to get you naturalized. Good luck.
Seek the advice of a lawyer so that person can give you legal advice relating to your particular circumstances.
That question would be for somone like Rebecca Saldana. You need to find an immigration lawyer. There are many reasons other than DWI convictions that go into acquiring cititzenship. Not only would I contact a good immigration lawyer, I would stop drinking and driving if I wanted to stay out of jail and become a citizen of the United States.