A 2015 laptop only has Thunderbolt 2 ports which use the mini-Display Port connector. It also has the traditional USB 3 ports with USB-A style connector.
A USB-C hard disk is probably not using the Thunderbolt protocol, but instead is using the less expensive & more common USB3 protocol. Check the symbol next to the USB-C port on your external drive. If the symbol looks like a trident, then it is using the USB protocol. If the symbol is a lightning bolt, then it supports the Thunderbolt protocol.
If the external drive is using the USB protocol (trident symbol or no symbol), then you need the Apple USB-C Thunderbolt 3 to USB-A Adapter.
If the external drive is using the Thunderbolt protocol (lightning bolt symbol), then you will need to use an Apple USB-C Thunderbolt 3 to Thunderbolt 2 Adapter along with the older style Thunderbolt 2 cable with mini-Display Port connectors.
If you are unsure of the protocol of a device, then check the user manual for the product.
FYI, USB-C is the name of the connector style and has no other meaning (it is a terrible name). A device with a USB-C connector can support the USB protocol or the Thunderbolt protocol. Most external devices will only be using just one of the two protocols. Your laptop is unique where most Apple USB-C ports on Apple computers support both the Thunderbolt protocol and the USB protocols (there are a few exceptions though, so read the product documentation).
A device which uses the Thunderbolt protocol must connect to a Thunderbolt port, and a device using the USB protocol must connect to a USB port. Things are a little tricky when USB-C ports are involved because you must learn what protocol(s) each USB-C supports on each of the devices.