Thank you for your question.
In Texas, there are very limited grounds upon which an annulment may actually be granted. You can see them here:
Essentially, in order to get an annulment, you must be able to meet one of the following:
1) You were under the influence of alcohol or illegal drugs at the time of the marriage
and have not lived with the other party since the effects of the alcohol drugs wore off;
2) Either party was impotent, you did not know of this at the time of marriage, and have not lived with the party since discovering this;
3) The other party used fraud, duress or force to induce you to marry them, and you have not lived with your spouse since learning of the fraud or since getting away from the duress or use of force;
4) You did not possess the mental capacity to enter into the marriage;
5) The other party concealed they were divorced within 30 days preceding the marriage and you did not know this at the time of marriage, and once you learned this information, you have not lived with your spouse; or
6) The marriage took place within 72 hours of the issuance of the marriage license, in violation of Section 2.204 of the Texas Code.
If you do not meet one of these factors, then you would have to file for a divorce instead.