Med schools today want students with a lot of diversity and come from a variety of backgrounds, not just pre-med majors. Over half of all those accepted to med school are not pre-med majors. I'm a microbiology major for example, which is still science-oriented, but I just as well could have been an art major. It doesn't necessarily have to be in science though. It doesn't matter what your major is.
Medical schools accept students from all majors from liberal arts to music.
As long as you take the required science courses you be fine. Med schools today want students with a lot of diversity and come from a variety of backgrounds, not just pre-med majors. Over half of all those accepted to med school are not pre-med majors. I'm a microbiology major for example, which is still science-oriented, but I just as well could have been an art major. It doesn't necessarily have to be in science though.