Having an ATC aptitude & an interest in aviation & ATC is far more important than having a Degree. Although, these days, a Degree would be a help to you in getting you noticed in the first place. But, other than that, I don't think it is all that important to have one. I echo the other advice that you have received. Get some background knowledge, interest & experience under your belt .... & keep your fingers crossed !
In my day it seemed most important to be an ATCA & play football for London Airways. It certainly helped a lot of aspiring ATCOS !