I was told that it shouldn't be a problem and I had the vegetarian dish for that night - a risotto - which was very nice. The next night, they remembered my request and, once seated, I was asked whether I liked blue cheese. I said I did and they delivered a plate of field mushrooms stuffed with a very tasty blue cheese accompanied with pine nuts. Fairly simple, but very tasty and it was very nice to be given this level of service.
But the story doesn't end there.
A couple of weeks later I was back again, this time for just a single night. When I was checking in, the manager came over and said that, as they knew it was me, they had put a vegetarian dish on the specials board for that night. What a result!
I enquired about their general policy, and they said that if they are notified in advance they are happy to cater for any dietary restrictions which is great. The rest of the hotel is excellent too, the rooms are very spacious and clean and the prices are very reasonable. If you're looking for somewhere to stay in the Oxford area, you could do worse then check out the Dashwood.