Legal Permanent Residency: Applying Lpr with a Possession of Drug Paraphanelia

Hi everyone. it's been two years since I was charged with possession of drug paraphanelia, which stated a class c misdemeanor. I completed 6 months probation, under deferred adjudication. Will USCIS reject my application for adjusting status to become a legal permanent residency? I am considering to marry my girlfriend and create a family, but I need to know if can stay in the country to raise my future children and continue my education. Thanks in advanced, any advice is greatly appreciated.

Legal Permanent Residency: Applying Lpr with a Possession of Drug Paraphanelia