A smell of vomit is stuck in my throat and nose, and has gotten worse since a great deal of stress and crying. is this normal?

Need more info: Did you vomit and the smell persists? You can have some in your throat that would be improved with gargling saline and rinsing your nose with lukewarm clean saline. If i had to guess, it's more your known problem of reflux that is flaring up with stress, so try some reflux medication in addition to the above. And call your doctor to be sure.