Eye requirements for private pilots license in the US?
The guidance for vision requirements are listed here.  Basically for a private pilot distant vision must be 20/40, near vision 20/40, and no requirement for intermediate vision.  The website says 


  In each eye separately with or without correction


I interpret that to mean that your left eye must be 20/40 or better.  However the final authority on this would be the FAA approved medical examiner and it wouldn't hurt to go ahead and schedule a FAA Type III medical examination and see what the doctor has to say.  Unfortunately your insurance won't cover the exam and you would have to pay somewhere around $150 for it.  However you will have a better understanding of what your options are if you want to pursue flying.  Sometimes a license can be granted but with restrictions if a pilot has a medical condition.

I hope you will be able to pursue flying and wish you the best of luck!