Ask HN: Should I submit my short story to a mediocre publishing house?

I am not an established writer. I plan to send my short stories for publication. Recently, I came across a contest which states that I will get a chance to be published, if my short story is good enough. The thing is that the editor seems to a self-proclaimed author with just one novel. Should I send my story ? If it gets selected, would it boost my confidence? Or, will it result in making me look mediocre to an audience who might ignore this book and my future books considering that I had ties with a mediocre publishing house ?