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well im assuming that you must be elemental or resto if your using a shield too.
Yes, this does bring up a good question.
To the OP, when asking a question like this, you should factor in other variables to complete your question, like level, spec, and race.
I can't really give a straight answer without knowing these things.
Like it was said, if you're using a shield, then it doesn't matter what kind of weapon you use. If you're going enhancement, you'll want to consider ditching that shield for dual wielding slow weapons when you get into the 40+ levels. If you're an Orc, and also going enhancement, then Axe would be best to make use of their racial.
If you're not enhancement at all, use whatever tickles your pickle. :P