I think it would be best to contact Texas A&M School of Veterinary Medicine to ascertain what they require for residency status.
Texas A&M gives preference to in state residents. They accept approx. 88% of the incoming class from residents of Texas.
Illinois accepts about 50% of the class from residents of Illinois.
vetmed.tamu.edu/dvm/prepare/dvm-program-admissions-information/
vetmed.illinois.edu/prospective-students/admissions/faq/
You will notice that while very similar, different vet schools have different course, GRE-some are not considering GRE, grade and hours working under the direct supervision of DVM as pre-requisites.
Good that you are doing the research in advance. Also, how well your student does in grades, research, internships, evaluations, and the ranking of the vet school will make a difference should they want to apply for a post grad speciality/internship and residency. A strong resume and LOR from a well known vet professor carries weight. Also take a look at the first time pass rate for the NAVLE from the different vet schools.
Best of luck to your daughter.