Hello, and welcome to the forum.
If your wife has Thalassemia trait, then there is a chance that your daughter has it also. If you do not have the Thalassemia trait, which you say that you do not, then there is absolutely no chance of your daughter having Thalassemia Major.
If your daughter has Thalassemia Minor, then she may or may not have symptoms. It ranges from person to person. Some people with Minor have little to no symptoms at all, and some have more serious symptoms. Either way, it is generally not as severe as Thalassemia Major.