My Korean name is legally separated but I always use the two parts put together.. is this a problem?

My real name is Eun hye Park. (Korean names are almost always three parts.) when i immigrated to america, our family wrote it that way, but as it was getting processed, the hye part turned into a middle name. This happens for many koreans who immigrate. so legally, my name shows up as Eun Park. but I always wrote my name as Eunhye Park on all my other things like college, SATs, and all the other forms. does that matter? im assuming that it doesnt have that much of an impact, and people assume that theres something with the foreigness, since i havent had a problem until now, but just wondering? anyone know for sure? thanks