Hi! If you look through this forum, you'll find some views on this topic. I don't know enough but I found something here (then couldn't find it again!)
I have a degree and taught in Greece. Without a degree, I couldn't have got a job - I don't have a TEFL qualification. I mention Greece because of my own experience but it varies from country to country. I hear that in the East, you may not get a visa without a degree if you're going for a teaching post.
Don't despair - decide on your destination and then research the country's requirements - and again, look through this forum!!
Good Luck! Eltheza