I wear a 38C bra size. When I run I hold my shoulders up. Am I eligible for a breast reduction through my insurance company?

It does not sound as if your breasts are large enough to make you eligible for an insurance reduction.  

Most insurance companies require that a minimum of 500 grams need to be removed from each breast in order to be eligible for coverage. 500 grams equates to about a DD cup size, so you probably are not eligible. Are you having any pain or grooving in your shoulders from your bra straps? Do you get back and neck pain from heavy breasts? You might choose to see a Board Certified Plastic Surgeon for a consultation and find out what your options are. Good luck.

Thank you for your question. It is difficult to address this question as it pertains to you specifically without the benefit of evaluating you in person.  In general, there are several criteria that must be met in order for an insurance company to approve breast reduction surgery.  A consultation with a board certified plastic surgeon can help you to understand what your options are. Their office would then submit the necessary information to the insurance company for approval.  Best wishes and be safe.