Which Cambridge colleges allow a fridge/mini fridge in your room? Watch
In theory Christ's don't but there are definitely people with them - they don't seem to police it too much. And if you have a medical need I'm sure any College will allow such an exception anyway.
It's not a medical condition but due to religious reasons I don't eat meat/fish/ eggs which makes it hard to eat out.
Mini fridges in rooms - yes, it's fairly common. College policies vary, and most don't officially allow it.
You know that most students at Cambridge eat in hall rather than attempt to self-cater, certainly in the first year? Self-catering facilities are always 'basic', because it's not really the intention for students to make their own dining arrangments.