I like your diagnosis....it certainly sounds like Trigeminal Neuralgia from your description and also your past history of suffering from this disorder.
You mention that you were travelling in a car.....I wondered if you had the window open for a short period of time, as cold air can certainly bring on attacks. There is no evidence that infections in the nose, sinuses or in the head region can bring on an attack of trigeminal neuralgia but recurrence is well documented as are many trigger points...washing, talking etc etc.
It should pass, but attacks have been known to last weeks or months.
Monitor the situation.