The idle for the 97 Taurus could be too low. The transmission bands could be sticking some as well, not allowing the transmission to come out of gear during idling.
Assuming that you aren't over-heating, check the fuel pump. My 1999 Taurus used to stall/ refuse to start when it was hot due to a faulty pump.
A very low idle can cause a 97 Ford Taurus to stall. Another reason for stalling may be transmission bands sticking, which does not allow the transmission to come out of gear on idle.
Your charging system has failed, probably the alternator.
There are several things that can cause your 2002 Ford Taurus to hesitate when accelerating. A dirty air filter will cause the problem.
would a cracked blocked cause a car to bubble antifreeze inside the reservoir of a 97 ford taurus ?
what will cause a Ford Taurus 1998 24 valve to overheat
If the engine runs cold you might try replacing the thermostat. I had a similar problem with a Plymouth van, at low rpms, turning corners,,, it would stall.
what would cause a no start condition when engine spins in a 95 taurus sho 3.2l
Check tha idle speed control solonoid.
My 98 ford Taurus jumps while idlingidling
Bad head gasket or weak fuel/ spark.
A serious vacuum leak could cause that.