It is possible to delegate responsibilities but also to trade the title for EP (it may not be much). He can also trade the title to someone else, perhaps in exchange for a more suitable role in the town that he would enjoy?
The responsibilities of a Mayor:
One of the questions people often ask is, what are the responsibilities of Aristocracy. That is, how does a Mayor (Town)/Magistrate (City)/Baron spend the majority of their day? As a hamlet/village, there's no special UI and they basically just work with their fellow hamlet or village elders to decide where to put plots of food, wells, and other small buildings. That’s it. Beyond that they can play however they want.
As a Town and above, there's a Town Management UI which lets you see your boundaries, zone parcels of land for leasing (residential, commercial, industrial), monitor settlement resources and taxes, and lets you identify where you want different types of structures to be built. This is, as you guessed, a table, much like the Count has, which goes in the Town Hall. Through this table, people can see the "town plan". And can work to bring the mayor’s vision of the town to life.
Once you hit City-level and above, and add a Courthouse, it becomes possible to customize the local laws using the desk at the Courthouse. As with the lower-level tiers, aside from defining some laws for your city, using the City Planning Table to identify where buildings should go, viewing the resource tables to ensure you’re getting the right resources into the town, and collecting taxes, you can otherwise play the game as you normally would.
It’s our estimation that with each tier of government comes an extra couple man-hours of management a week. Hamlets maybe 1-2 hours per week spent managing/meeting regarding the hamlet, villages 2-4, towns 4-6, cities 6-8, and capitals 8-10. Remember, at the point where you’re running a Capital, you’ve got 250+ people residing within your domain. These are of course estimates. Those people who prefer to be more hands-off can delegate many of the duties to others, and those who prefer to be more involved can walk the settlements making improvements themselves.
Source: DJ 18 Kingdom and Land Management