Is there a way to get rid of this puffy/bulge in lower eyelid (obicularis oculi muscle)?

If it is truly your oculi muscle then Botox can be used to decrease the tone and may make an improvement.

Best Wishes,

Gary Horndeski, M.D.

That muscle fullness is doing the vital job of holding your eyelid against your eye surface. You will destroy its function if you talk a well meaning idiot into removing it. Occasionally a see folk who were infected with Botox to reduce the muscle bulk. Guess what? The eyelid slumped, looked terrible, and they had bad dry eye until the Botox wore off. If you can’t stop thinking about this, I recommend cognitive behavioral therapy with a licensed psychologist—very effective.

Bulging of the under-eye muscles is a well-known cause of what has come to be termed under-eye "jelly rolls" owing to their resemblance to the rounded circular shape of jelly roll candies. Since this arises from muscular hypertrophy of the underlying orbicularis muscle, a few microdroplets of Botox can be used to relax these statically tense muscles and shrink the bulging. You would be wise to consult with a board certified cosmetic dermatologist and best of luck.