Drove over a small but thick branch and didn't notice it until last second since it was dark and this was the result:

https://cdn.discordapp.com/attachmen...924_132923.jpg
https://cdn.discordapp.com/attachmen...924_133143.jpg

How do I explain it to the repair shop, like what is this underside part of the car even called?

 

I think that's just the underside of the rear right side skirt. That's what I'd say to a repair shop at least.