It would seem so I depends on the exact language of the convicting statute and the maximum potential sensense it carries
NYC EXPERIENCED IMMIGRATION ATTORNEYS www.myattorneyusa.com; email: firstname.lastname@example.org; Phone: (866) 456-8654; Fax: 212-964-0440; Cell: 212-202-0325. The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter.
No. A 2 year deferred adjudication in Texas for burglary is not an aggravated felony for immigration. But only if it was straight deferred adjudication. If, for example, your sentence was a two year probated term, then it would be an aggravated felony. Under immigration law a burglary offense is an aggravated felony if it carries a term of imprisonment of at least one year. A straight deferred adjudication is not considered a term of imprisonment.
This may be a crime involving moral turpitude, as well, but more information is needed. It is unclear whether you pled to the facts of the crime. It is unclear whether deferred adjudication is based upon a Texas statute or your case was dismissed as a matter of law by a judge after continuances issued as a matter of discretion.
This is general information, not legal advice, and does not create an attorney client relationship.