There are those that are against Stern or Touro, but not a Cope course or similar.
Why is that?
1. Some people are very concerned about what seviva that are in. They would want to go to school with like-minded girls whose standards in Yiddishkeit and tznius match their own upbringing. They would not find the male-female socializing between YU and Stern acceptable.
2. Some people would not like to be exposed to the anti-Torah values of the outer society especially when learning psychology, counseling or social work or similar subjects.
3. They want to learn something very specific such as accounting/computer programming without wasting time having to get a “well rounded” education.