Is there any way to quickly lessen the smell of spilled cologne in a small, poorly ventilated room?

Here’s the situation. My bathroom is very small. I’d be surprised if there were 50 square feet including the shower, toilet, sink and closet, and probably less than 15 square feet of floor space in the whole room. It is completely tiled. It does not have any windows, and the exhaust fan is broken. There is a medicine cabinet above the toilet, which when I opened it today, a bottle of cologne fell out, hit the toilet seat, shattered into a gazillion pieces, most of the cologne went into the toilet and most of the glass went on the floor. I flushed, and I swept up the glass…the floor and toilet are dry, but the room smells like a Portugese whorehouse. I tried closing the door with a lit candle for half an hour, that did nothing. I’ve now had the door open for 2½ hours and the smell is as strong as ever. It gives me a headache to even walk within 10 feet of the bathroom. Is there anything other than time that would make it smell a little less powerful?