You don't say where your bad experience was or where you are looking for work. If you are looking in China and are a native speaker pretty much anything in your past can be overlooked, especially if you are a woman. Many schools are actively seeking female native speakers. A new term starts here very shortly and schools need to hire someone quickly. I had one horrible experience here and left a school after only 6 weeks and I don't put it on my resume but it was a totally illegal school that never got me a visa. If the contract you broke was a completely legal one at a "real" school it might be difficult to leave it off your resume simply because the visa will still be in your passport.

If you're looking in China I could probably give you some leads. Drop me a private email.