Teachers can have a range of degrees, it really does not matter. They may have a degree in Drama, journalism, English, Music, Web Design or even sports therapy, but that doesn’t not necessarily mean any individual can become a teacher.
There is still a significant amount of work to be done after gaining a degree, and not everyone will have the willpower or drive to complete additional courses to become a teacher. Like any job, you have to work hard to get to the top; however, there is a range of teaching jobs abroad. For example, China employ many individuals, many do not even have degrees, and they gain English teaching jobs. So even without degrees there are opportunities out there, but it just depends on how much you want a teaching job.