Check engine light blinked continuosly and smoking

Do not continue to operate. Operating an overheated engine will cause the engine to fail.

After the engine has cooled,
Confirm that the engine has coolant.
Confirm that the reservoir is full to the mark
Start engine and confirm as engine gets warm cooling fan at radiator turns on

Confirm that the rubber engine belt is working
Put in car heater to full hot and blower on.
Confirm heat is hot from car heater.
If heater is not hot possible water pump failure or air in coolant system keeping the coolant from circulating.
Allow to cool completely.
Remove cap start engine and observe coolant flowing at or near cap. Observe bubbling or exhaust gases coming from radiator

Check for water in oil by pulling dip stick

• White smoke from the exhaust pipe
• Overheating engine
• Bubbles in the radiator or coolant overflow tank
• White milky oil
• Significant loss of coolant with no visible leaks

If milky likely a blown head gasket

Hope this helps?

Look close for oil leak from your valve cover on the exhaust.
check coolant with cold engine and top to max. next day recheck if yore losing coolant

Generally, white smoke is engine coolant burning. If it only happened for a few seconds, you may have leaked some on the exhaust pipes.
I would check the engine oil and coolant levels with the engine cold, and then look for coolant leaks.

These have very very specific repair procedures. The intake manifold is leaking coolant into the intake valves. What year and model Cadillac do you have?

I would check all my hoses, top and bottom radiator hose, and all heater hoses.. check for breaks. Check all clamp connections on hoses. I think this may be just a worn hose that busted. This would not be serious nor expensive. The smoke was probably steam from the overheated coolant. If you stopped it when the light came on ,there should be no additional damage.

1. Knock sensor. Check all the wiring connections on the engine heads. Your sensor probably is failed (but see Overheating #3 below) .
2. fast blinking left turn signal. The front bulb has failed, so replace it.
3. oil temperature light. This may be an indirect result of #1, as the engine is not running properly and this can cause overheating (but see Overheating #3 below)

Other causes of overheating ...

1. low oil level
2. low coolant level. If you are losing coolant, the cause has to be located. The correct fill method is to top up the radiator, then repeatedly squeeze the top rad hose, to "burp" all the air out of the cooling system. You will hear the coolant squishing in the top of the engine. Keep burping until the coolant squishing noise stops.
3. head gasket(s) may be failing, a not uncommon problem for your engine model. Check for oil in the coolant.

SD

what does this smoke smell like? oil? coolant?, if it smells like coolant then u have a leaking head gasket, not all head gasket leaks cause overheating, so the fact the engine is not overheating doesn't mean you don't have a head gasket leak.

a bad the thermostate could be not opening at all thus overheating the engine ,it should be replace with a new thermostate.click on the blue hand if I was helpful thanks.

what colour is the oil, sounds like it may be a blown head gasket

What is overheating ? Engine or tranny? You said you put tranny fluid in, but not in the engine right? Engine sounds like it is toast. Is there any abnormal look to the engine oil on the dipstick? Are you losing coolant?
If you add coolant with engine NOT hot, and watch the radiator fill spout with engine started and warming up, do you see water gurgling?
Do a compression test.