Accidentally broke synthetic reed, cut my lip. Worry??

So I took my reed out of its case and in the action of doing so I broke it. The reed held its shape and you couldn't feel a difference but was visibly shattered, and the sides could move apart from the center.

Anyway, I was using the reed to play and I believe I cut my upper lip since it's been numb (though I was hit in the face earlier In the same area so maybe the reed didn't cut me) . How much should I be worrying about the injury? Are synthetic reeds dangerous to play if broken?