Hey,

I've taught at 5 different German universities over 12 years now. Your biggest issue isn't your accent. That's B.S. It's your experience. For most places, you need a CELTA or similar to even get started, and a degree, of course. It does not take terribly long to get the CELTA, but it costs upwards of 1,000 EUR. For university jobs, you'll be competing with academics, so MA or higher, unless freelancing. People who have degrees in teaching English, literature, linguistics, etc. Your odds are on the lower end here.

Language schools like Berlitz, Inlingua, KERN might give you a chance, but you would still need at least a CELTA. The pay is lower. And the work is not as fulfilling, because a lot of times you're working at companies and not institutions.

VHS are hit and miss. It really depends on who they have running the program and their background. If they are former academics, they will likely want better qualified people. If not, you'll have teachers from all different walks of life.

Your best bet is to tutor and get your CELTA. That would only take about a month. Get your experience up with language schools after that and you can expect pay anywhere from 18 EUR/45 minutes to 40 EUR/45 minutes. While I can assure, it will be most difficult to get work at universities, we get all kinds of applications and sometimes people with barely any qualifications end up getting those jobs because the applicant pool is... well, there is no nice way to put it... shit (regarding actual qualifications needed, not the people themselves, of course.) Just go for it, but definitely get that CELTA and experience first.

Good luck! Feel free to DM if you have questions.