Keep in mind that you can often apply to colleges starting the spring semester.
However, I think you should find something to do at least for the 6 months or so until your spring semester would start. I'm not sure how long the EMT class lasts, so that might change things. However, if you are interested in it and/or medicine in general, it might be worth a try. No, it's not the same thing as being a doctor and it's not a direct path; however, it would give you a taste of medicine to see if it's something you really enjoy, and give you a career option (which might open up doors for you if you wanted to move somewhere that has a CC, for example, or another college, where you'd have some income coming in already). If you're going to get a job until you get into college might as well try something you think you'd be interested in. If you are unsure whether you want to commit to EMT school, go to your local fire station because often they will allow "ride alongs" (shadowing).
As for your ACT result, we can't tell you whether it is a fluke, whether you just need to study more, whether it is the ACT itself and you would do better on the SAT, etc. I would maybe start a "self assessment" with looking at where you thought you would score based on your previous grades as that would probably give you a better idea of how accurate the score is (to an extent, everyone has flukes). The advice to get a review book and do some serious studying is good if you would like to try again.
You might also want to explore other health-related careers, just to look at your options. Being a doctor is a great option and one test score doesn't necessarily mean you won't achieve that dream, but a lot of high schoolers also don't really know about the variety of healthcare jobs out there and you might find another one is a better fit, which is great too. Besides being an EMT (or paramedic which I think is a step up), there's nursing, physical therapy, pharmacy, occupational therapy, speech/language, pharmacy, occupational therapy, physician assistant, nurse practitioner, OR scrub tech, respiratory therapist, etc. If you decided against being an EMT, some other healthcare jobs that require a shorter training period are being a phlebotomist, CNA, and medical assistant.