Tenant’s rights in Texas are relatively minor, though still noteworthy. For example, Texas tenants have a right to seek out and enter into leasing agreements without facing discrimination that decreases their ability to enjoy safe housing on their own terms. Texas tenants also have a right to repair certain amenities and deduct the associated cost from their next payment (subject to certain limitations and notification requirements).
The information for this answer was found on our Texas Landlord Tenant Rights answers.