Get a replacement one - it only takes a week or so to come through and you can do it all online for £20 or so.
My beloved has a nasty habit of moving my licence so I have had to get an emergency replacement in a hurry a couple of times (he pays the bill) to allow me to hire a car...
One time when it didn't arrive before my flight though, I spoke to Avis who were able to ring DVLA and get all the necessary details - at a charge of £5....