As some have already said, there is a lot of opportunity to work abroad for English teachers. I don't know what the situation is like in the UK, but I've heard it can be rough for teachers to get a job right away. I have a friend who had to do a year placement before the school actually hired him. But the opportunities abroad are numerous.
I'm from the US and I went to Taiwan to teach. It was a way to expand my teaching skills, work on my Chinese, and travel and I loved it. I worked for a private school that did after school classes for school kids but I also got to do some nursery teaching, too which was fun. I had friends that worked at the American and British schools in Taipei and they absolutely loved that.
If you are willing to go abroad there is a lot out there. You can do a few years here and there and see what works for you and what countries you really love. But if you want to stay in the UK, it's not impossible, but try to get placements and network as much as you can before you graduate. It might help you loads afterward.
Best of luck with your degree.