First, it's great that you are considering a career in STEM! What science and math classes have you taken in high school? Which classes did you enjoy most -- hopefully your math and science classes -- the answer will help determine what you think you want to study in college. If you really enjoyed biology, medicine might be a good fit for you, but as it's a graduate program, you would take a science-heavy undergraduate major to prepare for acceptance into med school. That could be biology, chemistry or even engineering.
If you really like physics and pre-calculus, then engineering might be a good fit. Engineers use math and science to solve problems facing society. Look on the internet for your local Society of Women Engineers section, and see if they have programs to introduce high school girls to engineering.
The other program you mentioned, psychiatry, is another science-based field, and will also require coursework in biology and chemistry.
I decided to become an engineer because I enjoyed physics (chemistry was a close second), and math and solved to solve problems. And I wanted a well-paying job when I graduated from college.