For what it's worth, I've been asked in every flying job application/interview bar one whether I have ever been involved in an accident. I know of several former student's who found airline employment (or rather were found employment as payment for their silence) following landing accidents during solo and dual training at a popular professional pilot FTO.
Yours sounds as if it was an instructor issue therefore I see no reason why it should prevent you from finding a job, unless you suffer psychologically as a result, as a friend of mine did.