Swollen Cheeks After Botox for Crow's Feet

There is normally minimal to no swelling after Botox injection. A little redness at the time of injection that fades within a matter of a few minutes. I more suspect that when the crows feet which are caused by contraction of the obicularis oculi muscle were paralyzed the muscle no long exerted an upward pull on the cheek area. Now the cheek as slightly descended giving you the fuller appearance. I'm afraid there's not much you can do until it wears off.

I concur with the excellent explanation for this problem given by Dr. Hess.
If the physician injects too medially, beyond a long dropped from the lateral canthus ( the outer eyeball), there can be an affect of the smile on that one side. However, this does not seem to be what happened in your case. In your case, as Dr. Hess points out, the muscles which encircles the eye was weeakened. This had been pulling up your cheek and now that it has been relaxed your cheeks have puffed out.
The problem will dissipate in three months if it has not by now.