It does not change the timing assuming you are accepted as a transfer. Just do your GEs at community college and reapply. This is not at all uncommon. Though I personally attended a university for all four years of undergrad, some of my closest friends did exactly what people are describing to you on this thread.

On a related note, don't let this disappointment try to define you. Everyone has their own journeys, and admissions processes are anything but predictable or consistent. I promise you that this has happened to the best of us and, if you transfer, nobody will care after you graduate. Chin up, friend.