What do you mean when you say vent? When we say vent we mean a polite term for the rectum. I think you might be referring to her nostrils, commonly referred to by us as nares.
Either way, she should be fine. It would be best to clean the wound (wherever it is) carefully with a very soft damp rag and then cover it with neosporin. You should repeat this process a few times a day until the cut is well healed. It may make your life easier to hold her in a little hand towel. Barring infection, everything should be fine.
In general I have a zero tolerance policy for violence between my budgies and encourage others to as well. However, this situation seems so minor from your description. I will say if they fight again and Fluffy gets another cut, you should seriously consider separating them. These things can escalate from bullying in no time, and it would be a shame for you to come home to a savaged bird.