the pus like stuff in your eye is the secretion from the mucus glands in the eyes. they will produce more of this mucus if there is any foreign body in the eye; in your case the eye lash. if u keep on rubbing the eye or trying to remove the pus, more will come. this is called mucus fishing syndrome.
the treatment is simple. DO NOT TOUCH THE EYES. do not remove the mucus. do some cold
compress to the eye. if still not ok then u can use some lubricating eye drops and u should be fine
gewt well soon