Admission to veterinary school is extremely competitive, but if your daughter is a strong student at ANY undergraduate college and, especially, if she does well in the prerequisite courses, she will be in the running. She will also need good tests scores and extracurricular/internship or research experience (such as her current gig in Africa).
Although admission committees certainly respect top applicants from the Ivy League universities and other sought-after institutions, it can be more feasible for an aspiring vet to make a mark at a less selective school … and this “mark" can be just as significant at grad-school admission time. Even though vet school admission committees are very picky, they still want each entering class to represent a range of undergraduate alma maters and not just the most celebrated ones. For instance, Ursinus College in PA, one of the “Colleges that Change Lives," has a very high admission rate to medical and veterinary colleges, and your daughter's current profile would make her a contender there.