Air conditioning dries out the air to an abnormal and unhealthy level. It causes sore throats for everyone!
One common solution is to keep a dish of water on the bedside table. That way the A/C cools the air but cannot dry it out completely.
But you will be surprised at how quickly the water evaporates from the bowl. Then think about what happens to the moisture lining your throat and lungs: if the A/C can empty a few inches of water from a bowl in about a day, how long does it take to strip the millimetre or so of moisture from your airways, and how hard must your body have to work to keep replacing it.
That is part of the reason why people in offices share nose and throat infections so quickly too: the air conditioning spreads the germs around the building, and destroys the mucous that protects the airways from infection.