* Automatic Transmission: A 2004 Cadillac SRX with an automatic transmission should be towed on a flatbed tow truck. Towing it on a dolly or with the wheels on the ground can damage the transmission.
* Manual Transmission: A manual transmission SRX *could* theoretically be towed with the wheels on the ground, but only for short distances and with the transmission in neutral. However, even then, a flatbed is the safest option to avoid any potential damage.
In short: While it's *possible* to tow it other ways in a pinch (manual, short distances), using a flatbed tow truck is always the recommended and safest method for a 2004 Cadillac SRX AWD, regardless of transmission type. This prevents any potential damage to the drivetrain.