Not enough experience to have ever been in a similar situation, but I suppose it depends how far you were form the landing end of the runway and what type of aircraft it was on approach, but I'd be looking to get off the runway onto the grass as soon as possible. I'd assume the other guy MUST have some kind of emergency and therefore may not be able to make the best of landings or be able to stop in time or steer to avoid me.
Another option would be to contimue to the far end of the runway, if there was room left, but this would involve turning your back on the other a/c.
By the way, why not name the airfield? Not their fault and you're not accusing them of anything. Or was it their CFI who was misbehaving?