Final answer:
The greater palatine nerve (CN V2) transmits pain from the roof of the patient's mouth.
Step-by-step explanation:
The nerve that transmits pain from the roof of the patient's mouth is CN V2 (greater palatine nerve).
The greater palatine nerve is a branch of the trigeminal nerve (CN V). It innervates the mucous membrane of the hard palate and transmits pain sensation from that area to the brain.
In the given scenario, the patient reports pain in the roof of her mouth, which suggests involvement of the greater palatine nerve. This could be due to various causes, such as oral infections, injuries, or inflammation. Further tests can help diagnose the underlying condition causing the pain.