N Indonesian teacher teaching English is supposed to be a "teacher of English" and NOT an "English teacher". Am I mistaking?

Background

"I didn't know any Arabic when I arrived in Riyadh, which was the first problem. For the most part, the boys' English was rudimentary, and communication was very difficult indeed. Another problem was cultural. My teaching style and body language didn't get the response I expected from these students. They soon were all over me and very difficult to control (Although I never before had had a problem with classroom management.) Yet another problem was one that substitute teachers routinely deal with -- taking over someone else's class mid-year.