In the social media era, pretty much everything is permanent public record. Even if you delete that questionable Tweet, someone probably made a screenshot of it. So, it's rather ironic that today's Texas expungement and sealing laws are broader than ever.
The court has dismissed the criminal case against you, whether through a deferred adjudication program or another mechanism. While that is certainly good news, you should be aware that, without further action, your arrest record remains available to employers, landlords and other people you may not wish to share this information with.