Don't feel bad about asking for help, that is exactly what this section is for!

As Chameleon explained above, each zone only allows a certain amount of FATEs to be active at any one time, and some seem to take priority spawning over others (ones that have very high spawn rates tend to do this), meaning other FATEs that have lower spawn rates will tend to be constantly 'overlooked'. The DQX event FATEs don't just spawn in one location, they spawn in numerous zones, so if you're finding they're not spawning in Central Thanalan, try the Central Shroud or Middle La Noscea so I'm sure you'll eventually find one active.

Either way, welcome to Eorzea!