I was going to say the exact same thing, if you.mean that her nostrils are actually visibly blocked, like you can see something white or the color of the skin on her face just inside her nostrils blocking the entire "hole", then those are nose plugs from her shedding...She may have an upper respiratory infection as well, just a coincidence possibly because no, nose plugs don't cause any breathing sounds like clicking or wheezing, but they are a normal part of the shed process. Is she shedding her head/jaw/face now or did she recently? If so then that's exactly what they are. Now if you actually see mucous in her nostrils, like "boogers" or liquid, then that isn't shed obviously, but a solid, usually white thing just inside her nostrils seems to be blocking her nostrils, it's most likely shed.
Typically when my dragons have nose plugs, I'll wait until the outside skin around their nostrils starts to peel up (this is usually the last part of them shedding their face/head and it takes a while for the outside skin around their nostrils starts to peel up), and when there is a good size piece of shed sticking up from around the outside of their nostrils, I'll gently pull up on it and the nose plug will come out. It doesn't hurt them at all, and it helps them out. Don't ever stick anything inside their nostrils to try to get it out, which is what we want to make sure the vet doesn't do thinking it's from an infection. If your vet is an experienced reptile vet then they'll know what it is, but if your vet is a general or "exotics" vet then they most likely will have absolutely no idea what it is, unless they have owned bearded dragons themselves.