I completed an English Literature degree and carried out lots of teaching work experience before realising I didn't want to go down that route either, and started looking into other career options.
I think you could definitely work in a school or for the council like others have suggested, but you could also consider the Office for Students, the Department for Education, Ofsted, etc. Tutoring centres, like Explore Learning, sometimes have their own graduate schemes where you work as an Assistant Director of a centre (though I've heard the hours can be quite difficult).
If you're thinking of roles outside of teaching entirely, you could consider other roles in the council or the Civil Service. Most graduate schemes (if that's a route you'd consider taking) also don't specify a preference for any specific degree, so you could go into consulting, law (with a conversion degree), marketing, etc. as long as you show that you have the relevant transferable skills and a passion for the sector you're applying for.
But there are plenty of options out there and I wish you the best of luck in whatever you decide to pursue!