My D knew she didn’t want engineering, nursing, or hard sciences, but was otherwise up in the air. So she chose the school she liked best (within our financial parameters — big state school with plenty of options) and declared her major in a program that she could be directly admitted to from high school, but that was very tough to transfer into. Thought was that she could change out of that major fairly easily, but had basically one shot at the school’s top program. She ended up sticking with it and adding a second major.
So perhaps consider what the strongest programs are at Rutgers (your wife should be in an excellent position to assess this) and have your D choose whichever seems most appealing and/or whichever would be hardest to switch into. She can start with that and see how it goes. She’ll have Gen Eds to introduce her to some other options but at least she’ll have a temporary path forward.