I know how you feel. I took the TEAS exam and failed the math portion by a few points. I was so discouraged after that. I did apply to another school that required a math and reading entrance exam that you needed to get at least 18/20 math questions right in order to get in and I passed it and got into that Nursing program.
Regardless of why you were rejected- don't give up on getting into Nursing school. You will get in, just maybe not on the first shot.
Don't let it upset you I was rejected for 6 years straight at other school. Finally I applied at my school and got in. I realized that it just wasn't my time. Now I'm prepared for nursing school and you can start preparing now too the earlier you start the better