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I teach math at our local community college and hear the "I hate math" statement almost daily. I have been able to change some minds about that, but the real change must come from within. Usually students who say they hate math have had a previous unpleasant experience that they have been unable to overcome. Also, most topics in math are like a multi-layer cake, with the applications as the icing. Unfortunately, teachers often start at the bottom layer of the cake and work upwards, maybe never reaching the icing and leaving students wondering "what is all this good for." Other teachers start with the icing to develop an appetite for learning what's below so that they can really savor the sweetness of solving problems.
Short answer to your question: If you cannot develop a more positive attitude towards math, you will most likely be fighting yourself all the way in most science and medicine disciplines.
I agree with what Danny & Elizabeth said, you have to change your perspective towards Maths if you want to pursue a career in the medical field. I totally understand how you would feel as I am also a person who is just like you. If I were you, I would at least give a try. Without trying, how can one be really sure? Who knows you might end up being really happy in the future thinking that it was the best decision in your life.
The main question is "do you really want to go for medical field?" If yes, you should definitely change your thinking about maths. Once you have it as your career, it will just be a part of it and you'll slowly start to enjoy what you'll be doing. I don't think you'll have to do an advanced maths in medical field like math majors or engineering people do. If you have a passion and confidence in yourself, you can achieve anything in your life :)
Like Danny was saying, a lot of people don't like math and the first step is to change your attitude about it.
Math will always be a part of your career, but most of the math that is done in the medical field is a lot more straight forward than the things you learn in advanced mathematics. It will be a lot of similar calculations for things like medication dosing and fluid rates, which can be a bit tricky at first but become very easy with repetition.
If medicine is your passion, don't let math be the one thing that keeps you away from it.