Wait wait wait. I'm missing something. The OP seems to be clearly indicating that his/her board has one female and one male connector on it, and both ends can speak USB-C. I.e., the USB drive could, electrically, be plugged directly into the host board, but for some reason (physical conflict?), that can't happen. So this is a little standoff board that basically just moves the host's plug out a little bit. OP, please let me know if that's not what you're going for.
Meanwhile, all the responses are talking about USB-C to USB-A conversion and ID-chip in cables and all this stuff that doesn't seem necessary to what would be a simple standoff. Is the signal integrity of USB 3.0 really so delicate that a couple of centimeters extra length will completely ruin everything?
I'm reminded of the recent thread where a dodgy SATA cable turned out to be simple 0.1" ribbon cable instead of the dual twinax magic that it's supposed to be. Thing is, it actually almost kinda worked: over 300mm of ribbon cable. I'd be surprised if USB-C was so much more sensitive that it couldn't survive 20mm of decently designed PCB and an extra connector pair.