whoa with the self surgery!
'ya know as much as i personally hope my current doctor is wrong they do have the added benefit of medical school. Generally I would say that qualifies them to preform surgical procedures.
ok on to the white bump, it sounds like a cysts especially since you talked about looking like a hard white pimple. Under normal curcumstances a dermo or Gp would just lance it out or let it go away with time.
Unless you have these in multiple places they are not normally anything to worry about and ladies can sometimes be worsened or appear around hormonal times.
Best of luck resolving it and aroudn your eye go the doc