So if the service is terminated, then it will take 10 days to reconnect with a new contract term - which is stupid seeing as I won't be here that long. If I lose access to the Internet, then I can't find a place to live, access my bank, etc, etc, etc.
Smiley, I Googled, and the UK has pay-as-you-go phones, Internet cafes, city wifi, Starbuck wifi, etc. like the US. There may be differences, but you don't seem option-less. You could also ask a neighbor or landlord for help. It's okay to ask for help sometimes. If your area is too small there may be a car, bus, hitchhiking, cycling, walking option to get you to a bigger area. Personally, as long as I knew I had options, I would not spend too much time on "what if". You have Internet now. Use it now to get what you need. Maybe withdraw $100 so if things get desperate you have some capital. That usually makes emergencies easier.
Two years ago I found myself responsible for two friends--carless, $20 between us, 10 miles from the nearest "town", 50 miles from the nearest cell tower, no "through" traffic headed towards the phones/towers. You better believe I found a way to get everyone food, water, and safely out. They never even saw me worry. (I want to be more vulnerable, but in emergencies, I'm glad to be a rock others rely on.)