Vitamin e is like an oil.
if you've ever seen a vitamin e capsule and broke it open...its pretty greasy.

i wouldnt ever suggest putting that stuff on your black heads...ever.
if you were getting them after using the vitamin e cream...that'd be a pretty big sign to stay away from the stuff and not let it touch your face. since your face is pretty sensitive.
if you don't like to use the face soaps and what not to get rid of them, there are other ways to make them go away.
i personally am not too fond of the medicated face soaps...they seem to dry out my skin or make it worse. although i have used a couple good products.
you can try lemon juice.
just rub lemon juice over the blackheads before going to bed. wait until morning to wash off the juice with cool water. repeat that for several nights until you see a big improvement in the skin. also helps to clear up blemishes.
i'm not sure what else to tell you. i wish you luck!