:-) no it's not strange for a German to stay here :-)
There're many Italians, French, Portuguese, Americans, Canadians, Australians, Pakistani, Indians, Africans, Thai people here (employed or not), so it shouldn't be any different for Germans!
Don't worry about it. People will love your German accent!!! Enjoy being you!!
(do get employed as well, of course)
love satchi :-)