First of all, no one has been found to get nose cancer due to sinusitis.
Secondly, from the perspective of the pathogenesis of cancer, pathogenic bacteria are unlikely to cause genetic mutations in cells.
If you are really worried, you can consult a doctor. I have asked doctors similar questions before, and the answer is of course that it does not cause cancer.
The main problem you are facing now is sinusitis rather than nasal cancer. If your rhinitis seriously affects your normal study and life, then I still advise you to have surgery as soon as possible. This disease cannot be cured by taking injections and taking medicine.