If you are talking about a private organization, then this is not a constitutional law or civil rights question. The constitution sets forth the framework of government and constitutional rights set forth areas in which government is not allowed to act. The constitution says nothing about what a private person or organization can do. When you signed up for the test and paid the fee, you entered into a contract with the organization. Undoubtedly, that organization set forth certain rules about taking the test within the contract. Your remedy, if any, is for breach of contract if the refusal to let you take the test was a breach of that contract. You also may have rights under the New York Consumer protection law if they misled you about what you got for your $180.00 fee.