I Had Restylane Done Yesterday Under my Eyes to Fill out Excess Skin but Really Did Not See Much Difference?

It is very difficult to answer this question without first viewing photographs or seeing you in person - before and after pictures would be best. You should consider posting pictures for an idea of what you are referring to.

I would not recommend Restylane to treat excess skin under the eyes.  Restylane can be used to fill in tear trough depressions (hollow areas under the eyes) but as a filler, would not really treat excess skin.  Excess skin usually needs to be addressed surgically or with a laser.