If you can't operate a motor vehicle within the bounds of the law, how can anyone trust you to take care of their family members?
Your lack of attention to detail (or callous disregard) while driving is a direct correlation to how good of a doctor you will be.
Clearly you will be a terrible doctor and no program will want to rank you.
But in all seriousness... pretty much everyone has a speeding ticket in their past at sometime.
Nobody will care.