Shajing Town Feng Wan Hospital should be a private medical institution. As long as the private medical institutions are local designated hospitals of the new rural cooperative medical system, participating patients in other regions can also be reimbursed. However, in the process of handling the referral procedures, the certificate or approval of the local designated medical institution of the new rural cooperative medical system is needed, such as the approval of the designated medical institution issued by the Shenzhen Municipal Health Bureau or the office of the new rural cooperative medical system. So you can ask the hospital for a copy of the approval of the designated medical institution when you go through the hospitalization procedure, and you can reimburse it if you have it!
Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.