Risk of Having a Rhinoplasty with a Cold?

Usually, if the problem is clear mucus after this much time there should be no problem. However, if you have green or yellow mucus, then I would postpone the surgery.

A viral cold before rhinoplasty is not a big issue but a bacterial infection such as bacterial rhinitis or sinusitis is.
You can tell the difference by the color of the mucus you get every time you blow your nose. If it is yellow or green every time then it is likely bacterial and you should NOT proceed with surgery. Instead take antibiotics and get better first.
The bigger question is why not do rhinoplasty when you are feeling a 100%. It is an elective procedures. There should be no rush in doing it.
Regards