Does it make sense to major in Nutrition and have a minor in Kinesiology or would it be better to have a double major?

It depends what you want to do after your Undergrad. If you want to go on to something like Med School, maybe a double major would be to your benefit. However, if you want to do a Dietetic Internship, maybe it would make more sense to get 2 minors along with the Nutrition Major, such as a foreign language or sociology, in order to make yourself a more well-rounded applicant and to show you are dedicated to helping people.