Turned key once, it tried to start but didn't, turned key again but nothing happens except smoking under hood. what is going on with my car?

Your vehicle has a fusible link from the battery to the battery junction box ( under hood fuse /relay box )

catalytic converter or o2 sensor maybe

Burnt smell after starting 2013 Chevrolet Equinox. Turned key starter turned over slowly then started drove car however strong electrical burning smell after starting pulled over seen smoke coming from under vehicle. Car wouldn't start even with a jump starter just clicking sound then nothing while horrible smell of burnt electrical from under the hood. Towed it home it just clicked once. Lights, horn, flashers dash and power locks all working fine never had any problems. Thoughts starter or ??

My best guess without being able to see the car is that the battery hard wiring is faulty.

You need to check both the condition, routing and security of the battery negative and positive leads.
You also need to check the security and condition of any additional earth leads which connect the engine to the chassis/body.

Assuming you were parked on some sort of hill, the jolt was the car moving and applying pressure to the park gear in the transaxle which is normal.
There is a neutral safety switch on the transaxle to prevent you from cranking the car in drive or reverse. Something may have happened to that switch when the transaxle moved.
When you turn the key to on and do not crank the engine, the check engine light stays on until the engine starts.
I would have someone check for voltage at the starter and at that neutral safety switch.

could just be a bad alternator it happens,i have gone thru 3 before it happens,go get another and try again.it is a mechanical part,and parts go bad ,does not matter you just bought it,it happens.good luck with your project.hope this helped.

sounds like you have an ignition problem, check the ignition fuse under the hood sounds like the fuse is blown, if that dosent work check your starter solinoid

I’m happy to assist further over the phone at https://www.6ya.com/expert/john_2c7bb9c157d0baa8

YOUR WIRELESS CONTROL MODULE(SENTRY KEY MODULE)MAY BE ELECTRICALLY LOCKED UP..THERE IS A SERVICE BULLETIN FROM CHRYSLER..YOU CAN REMOVE IOD FUSE IN FUSEBLOCK(UNDERHOOD BEHIND AIR CLEANER..IGNITION OFF DRAW(IOD)THIS WILL RESET WIRELESS CONTROL MODULE AND VEHICLE SHOULD START AND LOCKS RESPOND AGAIN..IF IT DOES,THE WCM WILL HAVE TO BE REPLACED AND THIS NEEDS TO BE DONE BY DEALER

U have lost the battery, check the cables, if they are clean (no corrsion) replace the battery, modern sealed batteries fail like this, crank fine and then puff nothing, happened to at least 5 times over the years and saw it all the time at work.

Do not leave the car in the garage without the battery disconnected until you locate the source of the smoke, the best tool to find the smoke's source is your nose, smell the area around the source of the smoke, if you smell a really nauseating smell you found it, then look for signs of burnt wires or burnt components, also look for any oil that may have caused the smoke, but I doubt that was the source, this sounds electrical. I know of no problems for your car that would cause this, so most likely it is not a common problem.