You can honestly say, "no." The background check may show an arrest though, as deferred prosecution does not come with an expungement of your record in Alabama. Get a copy of the order dismissing your case in case you are questioned.
No representation is made that the legal services provided are great than legal services provided by other lawyers. This answer does NOT create an attorney-client relationship, nor does it create an ongoing duty to respond to further inquiries.
follow your lawyer's advice, and get your own copy of your criminal history from the state; if the arrest appears, talk with your lawyer about expunging the record