I am looking for a surgeon that will remove cholesterol deposits from my eyelids.

I have been treating xanthelasmas--yellow fatty deposits--around the upper and lower eyelids for more than three decades. I have found that, in the vast majority of cases, the use of simple electrocautery applied directly to the center of the yellow bumps leads to significant and immediate and dramatic shrinkage with ultimately barely visible residual linear marks that often remain hidden within the very loose skin of the eyelid regions. This technique, which takes only minutes to perform under local anesthesia, involves no scalpel cutting nor stitches and heals quite rapidly in only a few days. Small deposits may also be removed by scissor removal, with the resulting wound left to heal without stitches. Simple electrocautery and scissor removal can be combined, if necessary.In most cases, only one treatment is  enough to yield gratifying results. However, additional treatment may be needed if residual fatty deposits remain. Consultation with a board certified aesthetic core physician is recommended. 

You are likely referring to xanthalasma lesions. See my website link below. See an oculoplastic specialist. You can find one on the asoprs website.

I have dealt with this problem several times and the solution is typically a blepharoplasty (removal of upper eyelid skin) that includes the area affected by the problem.  A fractional CO2 laser is also helpful if all of the skin cannot be removed, pending the size.  If you would upload a photograph I can make a better assessment.  Thanks!