My lad had xrays of his feet with his shoes on I would check with your vet and if needed I would get your farrier to take them off before hand. My experience of a vet taking shoes off was very painful and they removed half the foot with the shoe. (I wouldn't say every vet is the same but at least you know your farrier can take them off properly)
See OP, wasn't a stupid question at all Mine have always been done without shoes but they've always been xrays requested by insurance when taking out LoU. But the vet can take them off, i'd just provisionally book in farrier for asap afterwards so you can get them back on asap if so, esp if xrays are of fronts only for example.
Thanks for the replies. X-rays are to see whats going on inside the foot. I guess if there is anything of interest, or needs a better view the vet will take the shoe off.