There is a way to use the USB-C port and appropriate adapter with 2015 12-inch MacBook Retina
to make use of Target Disk Mode. (Target Display Mode is a different animal, so this won't apply.
...Since this model 2015 12-inch MacBook Retina does not have Thunderbolt hardware.)
See:
Re: Will the USB-C to USB-C target disk mode for 12" Retina MacBook support booting from a connected computer with a compatible OS installed as did the Target Disk mode for Thunderbolt and Firewire?
Note the information at bottom of Support Article linked within the above thread, where the method
is confirmed, and additional reading is to be found there about how to connect to do this.
• Using the USB-C port and adapters on your MacBook (Retina, 12-inch, Early 2015) - Apple Support
"Your MacBook with USB-C port supports USB target disk mode. You can enable target disk mode &
use the following USB-C cables to transfer data. These cables are not currently available from Apple."
- USB 3.0 or USB 3.1 USB-A to USB-C Cable: Use this cable to manually transfer data from any Mac notebook with USB-A port(s) to your MacBook with USB-C port. This cable cannot be used to migrate data using the Setup Assistant or Migration Assistant application.
- USB 3.0 or USB 3.1 USB-C Cable (USB-C to USB-C): Use this cable to migrate data from any MacBook with a USB-C port to another MacBook with USB-C port using the Setup Assistant or Migration Assistant application.
"To enable target disk mode, hold down the T button on your keyboard while starting your MacBook.
Then connect either of the USB-C cables described above. The USB-C Charge Cable (2m) supplied
with your MacBook doesn't support target disk mode."
Hopefully this can shed some light on the topic, if not for your situation, for later followers.
Good luck & happy computing!