"Pudding" means different things in the UK and the U.S.
Here's it means a type of custard. Whereas, if I understand it properly, in the UK, it's dessert, an afterdinner sweet. Christmas Custards are like dense cakes that get steamed and covered with brandied butter.
Sometimes I think the analogous eating Jesus rituals can get a bit weird, from transubstantiation to pudding. My nice vanilla methodist church opted for wonder bread and concord grape juice instead of wine and wafers. Given we were starved for lunch by that time in the weekly church service, I quite looked forward to it.