First let me say that I am NOT the AUTHORITY here but I do have the experience of having to reapply multiple times in order to gain admission.
So.....
If you think there is a stigma about being a re-applicant then DO NOT APPLY to medical school until you think your application is s perfect as you can get.
However.....
There are 1000's of applications every year for 100's of slots. Everyone has stellar EC's, grades and MCAT's and in my view not everyone gets in each year because schools like a well-rounded class and there are always those who gain admission because of a great story, great experiences, but may not have the greatest numbers.
My point..... Getting into medical school is really the luck of the draw for most students. Only the top best get in on the first try - that's just the reality of it. To go through the process thinking that being a re-applicant can be detrimental somehow is not some thing that I believe. Other's may disagree with me but the majority of folks who post in these forums are not even accepted yet whereas I applied 4 times (3 years in a row) and was finally accepted because my story was great, my numbers ok, and my timing getting my app in was just right.
NO ONE CAN GIVE YOU AN ABSOLUTE. It comes down to you but to obsess about not being a re-applicant I think is only unnecessary mental anguish that you may not have control over.