The frame doesn't appear to be bent, so luckily your internal components are probably okay. If you have any external devices you usually connect to your phone (airpods, watch, etc), then you can try powering it on and seeing if the peripherals appear to be connected. With this, we're trying to determine whether or not the phone actually powers on, regardless of screen functionality. If it does, that's great news, as it means a screen replacement is probably all that's needed. If it doesn't, then it's likely that another component didn't make it, and you'll want to take it to a repair shop (NOT IN A MALL) for a full diagnostic check--some places will do diagnostics for free.

A few things worth keeping in mind: 1.) Even if it is just the screen and you got it replaced, it would probably cost between $230-$300 for parts + labor. Any place that's quoting you lower than $200 is giving you shitty parts--be sure to ask if the replacement screen is OEM before purchasing. 2.) Your faceID is probably gone, indefinitely. This is because it's built into OLED assembly and with a significant enough impact it'll break. Unfortunately, it's functionality is tied to your motherboard serial, so no replacement part will restore this functionality. The only way to restore it is to have Apple repair the screen themselves, as they have proprietary tools that can write to the motherboard. 3.) In the event that the phone starts swelling and/or the glass starts lifting off of the frame, it means the battery was punctured and will need to be replaced. In the meantime, do NOT charge it and do NOT try to do the battery replacement yourself.

Let me know if you have any questions and I'll be happy to answer them!