I have an absolutely wonderful book called 'Pride and Pudding' by Regula Ysewijn, which is a completely glorious paean to British historical cuisine, a fantastic rebuttal to anyone who thinks that British food is rubbish. It gives history, recipes and photos for everything from toffee pudding to suet pudding and christmas pudding and dumplings and black pudding and haggis and all the rest.
And of course, Yorkshire puddings.
Beef is not mentioned.
It tells me that Yorkshire puddings were traditionally cooked under a spit, catching the drippings from the joint of meat above. To make a proper Yorkshire pudding you need a hearth and a roaring fire. And Baldrick to turn the spit (although I saw an interesting mechanism - I think it was in Shibden Hall in Yorkshire - using weights and pulleys to turn a spit in front of the fire) Small individual Yorkshire puddings are a modern aberration: true Yorkshire Puddings are stately things to be shared out at the table. The first time a Dripping Pudding is known to have been called a Yorkshire Pudding is 1747, ten years after the first printed recipe for a Dripping Pudding.
The 1737 Dripping Pudding recipe prescribes a Shoulder of Mutton, and the 1747 Yorkshire Pudding recipe requires "a good Piece of Meat at the fire".
However there is a 1675 reference to beef at Christmas dinner from Henry Teonge, a naval chaplain: aboard a ship they had a rib of beef, a plum pudding (this is the first known reference to christmas pudding), mince pies and "plenty of good wines". Plum puddings and beef were a common combination on festive days in the 18th century; the pudding was eaten as part of the main course in lieu of the stuffing cooked with birds, not as a dessert.
So Beef is fairly traditional for Christmas day in Britain (more recently Turkey - although the early American settlers were eating turkey and cranberry by the 1660s according to Wikipedia, of course they didn't celebrate Christmas). Yorkshire pudding can be eaten with any meat according to the oldest known recipe.
tldr: Just eat the Yorkshires.