2004 Hyundai Santa Fe Won't stay running

Hi bbq6464, Welcome to 2carpros and TY for the donation

If its the timing belt I don't think it'll run for 10secs-Yes could be the CPS and other ignition components to include fuel problem and ignition switch

Next time it stops-do below immediately to determine if its fuel or spark related issue-

Get a helper disconnect a sparkplug wire or 2 and ground it to the engine at least 3/16 away from ground -have helper crank engine over-do you have a snapping blue spark? If so-you have a fuel related problem, check the fuel pressure to rule out the fuel filter/fuel pump/pressure regulator and listen to the injector/s are they pulsing or hook up a noid light. No snapping blue spark continue to troubleshoot the ignition system-power input to the coil/coil packs, coil's resistances, distributor pick-up coil, ignition control module, cam and crank sensors and computer Note: If it doesn't apply disregard it.