Not only will they make you take chemistry, they might make you take organic chemistry. Universities like to use hard courses to weed students out. Organic chem and physics are notoriously hard classes.
But in general, ribbons, I'm not sure primals should study nutrition at all. You'll have to spew back conventional wisdom crap just to pass the tests. For years. And then as a nutritionist, you'll probably have to live within the system and recommend CW to your patients. Can you do that?
As for universities, I've been to a few, big and small (American). I always recommend the larger one. Small schools like to sell you on "personal attention," but it's bunk. Personal attention means that you're one of a few students in the major. Sounds like a great idea if you're on their good side. BUT on the flip side, if you have an issue with a faculty member, or get into a fight with one of your classmates, you're stuck with them all four years. The conflict WILL affect your grades.
At a larger school, you can hide, or run away to find other mentors and friends. Also, larger school have more students, more study groups, more clubs to join, more help centers, more class sections, and more majors in case you change your major.
As for jobs and stuff, at least in America, people tend to rate how good the school is by the basketball team.
5'0" female, 44 years old. Started Primal October 31, 2011, at a skinny fat 111.5 lbs. Low weight: 99.5 lb on a fast. Gained back to 115(!) on SAD chocolate, potato chips, and stress. Currently keeping food tracker.
I (try to) follow by-the-book primal as advocated by Mark Sisson, except for whey powder and a bit of cream. I advocate a two-month strict adjustment for newbies. But everybody is different and should tweak Primal to their own needs.