Dysport injected to upper lip, now teeth no longer show when I smile, should I never do it in this location? (Photos)

To treat the fine lines around the lips, you want to weaken the fibers of the circular orbicularis muscle that are at the lip border.  To do so requires only a few units of botox or dysport.  It sounds as if you received either a larger dose or you were injected higher up on the lip so that the muscles responsible for upper lip elevation have been weakened.  Fortunately, the result will be self limited, and your smile will gradually return.  If there is a next time, make certain that fewer units are injected and they are placed right at the lip border.  Find a certified, expert injector to make certain that your goals are achieved.  

Wrinkles relaxers like Botox and Dysport are commonly used to soften perioral lines or lip lines. In my experience, the key to good results is using a low dose technique. The low dose soften the lines without completely relaxing the orbiculares oris muscle. It would be helpful to know how much Dysport was used in your case. I usually use 6 units of Dysport for the upper lip spread out over 4 injection points (1.5 units each).