Does anyone here know a lot about cars?

The arrow part is dented like in the first photo.
I'm not sure if it's a heat shield or a protective plate... Looking closely at the photo, I can see something like an exhaust pipe inside...
I opened the engine bay to check, and although it's hard to see, there was some kind of blackish component inside..
I didn't realize the position at the front of the car was so high, and while exiting, the front wheel hit it hard, causing an impact. It made a loud noise too..
Since then, I've driven from Dongdaegu to Changwon without any issues, but does that mean everything is fine?
It's raining, so I can't tell if there's an oil leak... I tried to visit Auto Q, but they can't take me for another week...
Since I don't know much about cars, I'm already scared of how much it's going to cost me ㅠ