Nice thread @edouard and ill try to add few points
Check both the number plates are intact and not fallen off or bent inside after the impact. If it's lost, report to the Police immediately and get it replaced.
Check the coolant level (visually) in the expansion bottle if its well within the Min/Max range. If it's low in expansion bottle or coolant reservoir tank, then top up at any nearest fuel station. DO NOT OPEN the radiator cap, when hot, it will gush out all coolant like a hot fountain and burn, just top up in the expansion bottle and check the radiator level again next day when the car is cold.
Check inside the front grill before the radiator if any shrubs, plant or plastic stuck in front, that can block the air circulation and overheat the car.
Check inside the engine bay and under the car from wheel arc with a strong flashlight to spot any noticeable leaks, broken hose, pipe etc. A leak may be very small if you spot any wet hose or pipe, worth diagnosing and getting it fixed as soon as possible.
While driving back on road immediately after offroad drive, start slowly to hear any unusual noise, vibration etc and then gradually hit the highway speed. Also while doing this music should be off so you can actually pay attention to any unusual hissing/noise. This means to reach to 120 (highway speed) in 5 minutes and not in 10 seconds so you can drive and notice in different speed, as many time some intermittent noise or vibration comes at a very specific speed only.
If you venture in water crossing or mud terrain, important to get the car underbody cleaned asap.