The electrophoresis test will give a much better idea what Lexi has. If it is thal or sickle cell involed, this test will show it. As I said before, if Lexi is 4 and has never transfused, it is unlikely that this is thal major. A major of that age would have exhibited failure to thrive and bone deformities and extremely low hemoglobin levels if not transfused.
Take heart in the fact that the correct test has been ordered. Hopefully the results will be available by the time you visit Strong. They do treat thal majors at Strong, and in fact, Lisa Cammilleri, the founder of this group was a patient at Strong. I don't know which hematologist is treating thal now, as Dr Rowley recently passed away, but it will be someone with some knowledge of thalassemia and its treatments.
Ask them what the electrophoresis showed and if you can get a copy of the results. At the very least find out what her hemoglobin level is. Ask if there may be other factors involved and why her gallbladder and kidney problems are so severe. A diagnosis of thal intermedia would explain this, but it is very possible something else is also responsible. If it is intermedia, a decision to transfuse will be based on what hemoglobin level she is able to maintain without transfusion.
Good luck and please let us know what diagnosis is made and what treament is prescribed.