Actually, the opposite is more likely. Your biopsy results may support your case in obtaining reimbursement from your insurance company, as your treatment will be based on the standard of care for your particular cancer.
In addition, thanks to HIPAA (Health Insurance Portability and Accountability Act) regulations, many tissue-collection protocols specifically address who has access to your tumor biopsy analysis. Typically, unless you explicitly grant access during the consent process, MD Anderson will not share the results of your biopsy with a third party such as your insurance company.