sounds like your ignition module
The engine stalls and will not restart.
the choke could be sticking causing the car the flood
If the engine stalls and won't restart for several hours on a 2003 Santa Fe, there is a problem with the computer in the vehicle. Check to make sure all computer fuses are working properly.
when kick down the gas pedal to accelerate, the car downshift but then stalls and then engine stays rough until i turn off the engine and restart it then the engine runs normal again till the next kick down.
Replace the fuel pump. I had an S-10 that acted similarly - turned out it needed new spark plugs and wires.
A major clue would be the vehicle stopping.
It depends on how wet the engine got. If it will not immediately restart and there wasn't a lot of water getting into the engine if you wait 20 - 30 minutes the engine may have dried out sufficiently to restart however if the engine was very wet then you are looking at a trip to the garage to get it dried out
Sounds like a ignion coil.
Your car needs a tune up or need a new engine. The air condition puts load on your engine and if it stalls then it needs a tune up.
Look at the TCC solenoid in the trans is going to be bad.
Sounds like a fuel problem. Check your fuel filter. Make sure that gas is getting to the engine.
Sometimes a car stalls when driving though water because water got sucked up into the engine. This can cause a lot of damage, so don't attempt to restart the car after it stalls. Have the car towed so the engine can be stripped down and drained of the water.