Would I dare show a puppy to a judge who is owner of the stud dog? There is not a snow balls chance in hell she would know me.

Yes , go ahead, it's done all the time.

It's certainly allowed and done all the time. The problem you end up dealing with is the appearance. If you win, it looks like favoritism even if it is clearly not. If you don't win it looks like the judge doesn't like what her own dog produces. It's up to you.